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Finding the Third Proportional to 39,631 and 63,721.50

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Solution

The third proportional to 39,631 and 63,721.50 is: 102,455.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,631 : 63,721.50 = 63,721.50 : x
  2. Step 2: Convert to fraction form
    39,631/63,721.50 = 63,721.50/x
  3. Step 3: Cross multiply
    39,631x = 63,721.50 × 63,721.50
  4. Step 4: Simplify right side
    39,631x = 4,060,429,562.25
  5. Step 5: Solve for x
    x = 4,060,429,562.25/39,631
  6. Step 6: Final answer
    x = 102,455.89

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.