In a certain town, the ratio of cyclists to pedestrians is 3 to 5. If the number of cyclists increases by 20% and the number of pedestrians decreases by 10%, what will be the new ratio of cyclists to pedestrians?
Let the original number of cyclists be represented by $C$ and the original number of pedestrians by $P$. Therefore, we can express the original ratio as:
$$ \f\frac{C}{P} = \f\frac{3}{5} $$
Using this information, calculate the new ratio after the specified changes.