Question : The mean proportion between 7 and 112 is:
Option 1: 42
Option 2: 28
Option 3: 21
Option 4: 14
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Correct Answer: 28
Solution :
The mean proportion of two numbers is equal to the square root of the product of two quantities in a ratio.
Let $x$ be the mean proportion of 7 and 112.
Then, $x$ = $\sqrt {7 × 112}$
⇒ $x$ = $\sqrt {7 × 7 × 4 × 4}$
⇒ $x$ = 28
Hence, the correct answer is 28.
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