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To solve for the "media proporcional" (geometric mean) between 12 and 27, you can use the formula for the geometric mean between two numbers \( a \) and \( b \):

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

In this case, \( a = 12 \) and \( b = 27 \). Let's compute the geometric mean:

\[
\text{Geometric Mean} = \sqrt{12 \times 27}
\]

I'll calculate that for you.The geometric mean between 12 and 27 is 18.

Thus, the correct answer is **A. 18**.

Would you like more details or have any further questions?

Here are 5 related questions:
1. How is the geometric mean different from the arithmetic mean?
2. Can the geometric mean be used for more than two numbers?
3. What are common applications of the geometric mean?
4. How is the geometric mean useful in comparing rates of growth?
5. What is the relationship between the geometric mean and the harmonic mean?

**Tip:** The geometric mean is especially useful when dealing with multiplicative processes, such as growth rates in finance or population studies.

Calcule la media proporcional de 12 y 27.

Learn how to calculate the geometric mean of 12 and 27 using the geometric mean formula. This step-by-step explanation covers key mathematical concepts such as square roots and basic arithmetic. Suitable for students in Grades 7-9.

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