Finding the Third Proportional to 13,036.50 and 31,509
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Solution
The third proportional to 13,036.50 and 31,509 is: 76,156.72
Step by Step Solution
- Step 1: Write the proportion equation
13,036.50 : 31,509 = 31,509 : x - Step 2: Convert to fraction form
13,036.50/31,509 = 31,509/x - Step 3: Cross multiply
13,036.50x = 31,509 × 31,509 - Step 4: Simplify right side
13,036.50x = 992,817,081 - Step 5: Solve for x
x = 992,817,081/13,036.50 - Step 6: Final answer
x = 76,156.72
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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.