Question

find the mean proportion between 12 and 75 the answer is 30 but can you please show the steps.
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Answer 1

Answer:

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Answer 2

Answer:

Mean proportion is 30.

Step-by-step explanation:

Given: Numbers 12 and 75.

To find: Mean proportion.

The Mean proportion or geometric mean of two positive numbers $a$ and $b$ is the positive number $x$, such that  $\frac{a}{{x}}=\frac{x}{{b}}$.

Here, $a=12,b=75$.

Let mean proportion be $x$ then,

$\frac{12}{x}=\frac{x}{75}$

$x^{2} =12*75\\x^{2} =900\\x=30$

Hence, mean proportion between 12 and 75 is 30.

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