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Finding the Third Proportional to 31,757.06 and 62,716.78

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Solution

The third proportional to 31,757.06 and 62,716.78 is: 123,858.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,757.06 : 62,716.78 = 62,716.78 : x
  2. Step 2: Convert to fraction form
    31,757.06/62,716.78 = 62,716.78/x
  3. Step 3: Cross multiply
    31,757.06x = 62,716.78 × 62,716.78
  4. Step 4: Simplify right side
    31,757.06x = 3,933,394,650.36
  5. Step 5: Solve for x
    x = 3,933,394,650.36/31,757.06
  6. Step 6: Final answer
    x = 123,858.89

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.