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Finding the Third Proportional to 31,854.66 and 50,607

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Solution

The third proportional to 31,854.66 and 50,607 is: 80,398.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854.66 : 50,607 = 50,607 : x
  2. Step 2: Convert to fraction form
    31,854.66/50,607 = 50,607/x
  3. Step 3: Cross multiply
    31,854.66x = 50,607 × 50,607
  4. Step 4: Simplify right side
    31,854.66x = 2,561,068,449
  5. Step 5: Solve for x
    x = 2,561,068,449/31,854.66
  6. Step 6: Final answer
    x = 80,398.56

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.