Question

find the 3 proportion to 8 and 36
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Answer 1

Let the third proportion be Y

According to the question (ATQ)(Important formulas): Product of extremes = Product of means

(Important Points) : In ratio A:B,A and B are called terms of ratio,A is called the antecedent or first term,and B is called consequent or second term

8:36::36:Y

By Using formula , product of means = product of extremes

8Y=36*36

8Y=1296

Y=162Therefore the third proportion is 162

Verification:

8:36 :: 36:162

8*162=36*36

1296=1296

Hence, it was verified