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Finding the Third Proportional to 24,073.88 and 31,951.13

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Solution

The third proportional to 24,073.88 and 31,951.13 is: 42,405.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,073.88 : 31,951.13 = 31,951.13 : x
  2. Step 2: Convert to fraction form
    24,073.88/31,951.13 = 31,951.13/x
  3. Step 3: Cross multiply
    24,073.88x = 31,951.13 × 31,951.13
  4. Step 4: Simplify right side
    24,073.88x = 1,020,874,388.77
  5. Step 5: Solve for x
    x = 1,020,874,388.77/24,073.88
  6. Step 6: Final answer
    x = 42,405.90

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.