The harmonic mean and the geometric mean of two numbers are 10 and 12 respectively. What is their arithmetic mean?

Explanation

For any two numbers, the relationship between their Arithmetic Mean (AM), Geometric Mean (GM), and Harmonic Mean (HM) is given by GM^2 = AM \times HM. Substituting the given values: 12^2 = AM \times 10 \Rightarrow 144 = 10 \times AM \Rightarrow AM = 14.4.

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