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Finding the Third Proportional to 31,711.50 and 44,377.88

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Solution

The third proportional to 31,711.50 and 44,377.88 is: 62,103.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,711.50 : 44,377.88 = 44,377.88 : x
  2. Step 2: Convert to fraction form
    31,711.50/44,377.88 = 44,377.88/x
  3. Step 3: Cross multiply
    31,711.50x = 44,377.88 × 44,377.88
  4. Step 4: Simplify right side
    31,711.50x = 1,969,395,789.52
  5. Step 5: Solve for x
    x = 1,969,395,789.52/31,711.50
  6. Step 6: Final answer
    x = 62,103.52

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.