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Finding the Third Proportional to 39,385.25 and 86,424.38

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Solution

The third proportional to 39,385.25 and 86,424.38 is: 189,643.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,385.25 : 86,424.38 = 86,424.38 : x
  2. Step 2: Convert to fraction form
    39,385.25/86,424.38 = 86,424.38/x
  3. Step 3: Cross multiply
    39,385.25x = 86,424.38 × 86,424.38
  4. Step 4: Simplify right side
    39,385.25x = 7,469,172,594.14
  5. Step 5: Solve for x
    x = 7,469,172,594.14/39,385.25
  6. Step 6: Final answer
    x = 189,643.90

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.