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Understanding Proportions. Chapter 3. Vocabulary. A proportion is an equation stating that two ratios are equal.
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Understanding Proportions Chapter 3
Vocabulary • A proportion is an equation stating that two ratios are equal. To prove that two ratios form a proportion, you must prove that they are equivalent. To do this, you must demonstrate that the relationship between numerators is the same as the relationship between denominators.
Examples: Do the ratios form a proportion? x 3 Yes, these two ratios DO form a proportion, because the same relationship exists in both the numerators and denominators. 7 21 , 10 30 x 3 ÷ 4 8 2 No, these ratios do NOT form a proportion, because the ratios are not equal. , 9 3 ÷ 3
Completing a Proportion • Determine the relationship between two numerators or two denominators (depending on what you have). • Execute that same operation to find the part you are missing.
Example ÷ 5 35 7 = 40 8 ÷ 5