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To find the positive geometric mean between two numbers, say \( a \) and \( b \), you use the formula:

\[
\text{Geometric Mean} = \sqrt{a \times b}
\]

In this case, the numbers are 6 and 13, so:

\[
\text{Geometric Mean} = \sqrt{6 \times 13} = \sqrt{78}
\]

The square root of 78 is approximately:

\[
\sqrt{78} \approx 8.83
\]

Thus, the positive geometric mean between 6 and 13 is approximately **8.83**.

Would you like further details or have any other questions?

Here are 5 related questions:
1. What is the geometric mean of 4 and 16?
2. How does the geometric mean differ from the arithmetic mean?
3. Can the geometric mean ever be negative?
4. How is the geometric mean used in finance or data analysis?
5. What is the geometric mean of three numbers, like 3, 9, and 27?

**Tip**: The geometric mean is often used in growth rates because it takes into account compounding effects better than the arithmetic mean.

Find the positive geometric mean between 6 and 13.

Learn how to calculate the positive geometric mean between 6 and 13 using the geometric mean formula: sqrt(a * b). The solution is approximately 8.83, which involves understanding square roots and multiplication.

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