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Finding the Third Proportional to 39,385.38 and 86,424.63

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Solution

The third proportional to 39,385.38 and 86,424.63 is: 189,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,385.38 : 86,424.63 = 86,424.63 : x
  2. Step 2: Convert to fraction form
    39,385.38/86,424.63 = 86,424.63/x
  3. Step 3: Cross multiply
    39,385.38x = 86,424.63 × 86,424.63
  4. Step 4: Simplify right side
    39,385.38x = 7,469,215,806.39
  5. Step 5: Solve for x
    x = 7,469,215,806.39/39,385.38
  6. Step 6: Final answer
    x = 189,644.40

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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.