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Finding the Third Proportional to 39,538.13 and 63,235.69

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Solution

The third proportional to 39,538.13 and 63,235.69 is: 101,136.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,538.13 : 63,235.69 = 63,235.69 : x
  2. Step 2: Convert to fraction form
    39,538.13/63,235.69 = 63,235.69/x
  3. Step 3: Cross multiply
    39,538.13x = 63,235.69 × 63,235.69
  4. Step 4: Simplify right side
    39,538.13x = 3,998,752,173.60
  5. Step 5: Solve for x
    x = 3,998,752,173.60/39,538.13
  6. Step 6: Final answer
    x = 101,136.62

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.