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Finding the Third Proportional to 31,715.25 and 41,713.13

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Solution

The third proportional to 31,715.25 and 41,713.13 is: 54,862.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,715.25 : 41,713.13 = 41,713.13 : x
  2. Step 2: Convert to fraction form
    31,715.25/41,713.13 = 41,713.13/x
  3. Step 3: Cross multiply
    31,715.25x = 41,713.13 × 41,713.13
  4. Step 4: Simplify right side
    31,715.25x = 1,739,984,797.27
  5. Step 5: Solve for x
    x = 1,739,984,797.27/31,715.25
  6. Step 6: Final answer
    x = 54,862.72

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.