To find the ratio of the number of men participating to the total number of participants, we can start by identifying the number of men and the total number of participants.
From the information given:
- Number of men = 23
- Total number of participants = 29
The ratio of the number of men to the total number of participants can be expressed as:
\[ \text{Ratio} = \frac{\text{Number of men}}{\text{Total number of participants}} = \frac{23}{29} \]
Thus, the ratio of the number of men participating to the total number of participants is \(\frac{23}{29}\).