Observing the temperatures recorded in Cesenatico during December and January, Stefano noticed an interesting coincidence: for each day in this period, the low temperature is equal to the sum of the low temperatures of the preceding day and the succeeding day.

Given that the low temperatures on December $3$ and January $31$ were $5^\circ \text{C}$ and $2^\circ \text{C}$ respectively, find the low temperature on December $25$.

Let's think step by step and output the final answer within \boxed{}.
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