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Finding the Third Proportional to 24,310.13 and 31,060.69

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Solution

The third proportional to 24,310.13 and 31,060.69 is: 39,685.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,310.13 : 31,060.69 = 31,060.69 : x
  2. Step 2: Convert to fraction form
    24,310.13/31,060.69 = 31,060.69/x
  3. Step 3: Cross multiply
    24,310.13x = 31,060.69 × 31,060.69
  4. Step 4: Simplify right side
    24,310.13x = 964,766,307.97
  5. Step 5: Solve for x
    x = 964,766,307.97/24,310.13
  6. Step 6: Final answer
    x = 39,685.78

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.