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Finding the Third Proportional to 31,309.66 and 63,712.83

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Solution

The third proportional to 31,309.66 and 63,712.83 is: 129,650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,309.66 : 63,712.83 = 63,712.83 : x
  2. Step 2: Convert to fraction form
    31,309.66/63,712.83 = 63,712.83/x
  3. Step 3: Cross multiply
    31,309.66x = 63,712.83 × 63,712.83
  4. Step 4: Simplify right side
    31,309.66x = 4,059,324,467.69
  5. Step 5: Solve for x
    x = 4,059,324,467.69/31,309.66
  6. Step 6: Final answer
    x = 129,650.85

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.