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Proportion: Mathematically, the formula that indicates that two ratios are equal is called proportion. In a ratio, the product of the two outer terms is equal to the product of the two inner terms, which is called the basic property of the proportion.
Interpretation. Brief introduction.
Proportion is the proportion of the number of each part of a population to the number of the whole, which is used to reflect the composition or structure of the whole.
There are two types of scales: scale bar and scale. The formula that indicates that two ratios are equal is called proportionality. To determine whether two ratios can form a ratio, it depends on whether their ratios are equal.
The four numbers that make up the proportions are called proportional terms. The two terms at both ends are called the outer terms of the proportion, and the two terms in the middle are called the inner terms of the proportion. In proportion, the product of the two outer terms is equal to the product of the two inner terms, which is the basic property of the proportion.
Finding the proportion is one of the unknown terms, which is called the solution ratio.
Proportional vs. inversely proportional.
Proportional. If the ratio (quotient) of the two corresponding numbers in the two quantities is constant, these two quantities are called [1].
Proportional quantities, their relationship is called proportional relation. If the letters x and y are used to represent the two related quantities, and k is used to represent their ratios, the proportional relationship can be expressed by the following formula: y x=k (certainly).
Inverse proportion. If the product of the two corresponding numbers in the two quantities is fixed, these two quantities are called inversely proportional quantities, and their relationship is called inversely proportional relations. If the letters x and y are used to represent the two related quantities, and k is used to represent their products, the inverse proportional relationship can be expressed by the following equation:
xy=k (definitely).
How to tell. In the process of solving such problems, we should firmly grasp the significance of positive and negative proportions, one is to see that there are not two related quantities, and the other is to see that the quotient between these two quantities must still be a certain product. quotient is certain, and the two quantities are proportional; The product is certain, and the two quantities are inversely proportional.
Secondly, when solving practical application problems, we should pay attention to ratios and proportions, as well as the relationship between them and fractions. Then you will solve the problem based on what you have learned.
The difference between ratio and proportion.
Ratio means the division of two numbers (there are two terms, the first and last terms), and the ratio means two formulas with equal ratios (there are four terms, two inner terms, two outer terms).
Solution-proportional. Scales are divided into scale bars and scales. The formula that indicates that two ratios are equal is called proportionality. To determine whether two ratios can form a ratio, it depends on whether their ratios are equal.
In the scale, the product of the two outer terms is equal to the product of the two inner terms. The process of finding the unknown terms of the proportion is called solving the scale.
The solution of proportions is solved by using the basic properties of proportions, because the product of the two outer terms is equal to the product of the two internal terms, so we can multiply the two outer terms and the inner terms by each other to solve the equation. For example: x:3=
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:2=,:,Bureau staring.
The composition ratio is::2=:;
Therefore, the answer is::Tongpei and 2=:The answer is not unique) in the reputation
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The composition ratio is: Zaoqiao excavation: :1;
Therefore, the answer to the late case is: ::1 (the answer stool core is not unique).
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The ratio is, so the fraction is: 3 5, as long as the numerator and denominator expand by the same multiple, then they are all equal ratios.
The ratio of the two ratios of cherry oranges such as the ridge and the reed can form the proportion.
3:5=6:10, 9:15=12:20, and so on.
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