Calculate the ratio of length of an open organ pipe to closed organ pipe if the third overtone of open pipe is in unison with the fifth overtone of closed pipe.

Explanation

To solve the problem, we need to calculate the ratio of the lengths of an open organ pipe to a closed organ pipe when the third overtone of the open pipe is in unison with the fifth overtone of the closed pipe.

### Step-by-Step Solution:

1. **Understand the Frequencies of the Pipes:**
- For an open organ pipe, the frequency of the nth overtone (which is the (n+1)th harmonic) is given by:
\[
f_{\text{open}} = \frac{n \cdot v}{2L_o}
...