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Question

If the AM of two numbers is 9 and their HM is 4, then their GM is


Solution

For any given numbers, their means, Arithmetic mean (AM), Geometric mean, (GM) and Harmonic mean are related by the relation
$$ GM^2 = AM \times HM $$

So, $$ GM^2 = 9 \times 4 = 36 $$
$$ => GM = 6 $$

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