Meredith has three bamboo poles of different lengths. The total combined length of the three poles when placed end to end is 47.5 cm. Pole B is 1.75 times as long as pole A, and pole C is 2.5 cm longer than Pole A. Write an equation for the total combined length of the three poles.

Let's assume the length of pole A is x cm.

According to the given conditions, the length of pole B is 1.75 * x = 1.75x cm.
The length of pole C is x + 2.5 cm.
Therefore, the equation for the total combined length of the three poles is x + 1.75x + (x + 2.5) = 47.5 cm.