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Finding the Third Proportional to 39,599 and 58,099

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Solution

The third proportional to 39,599 and 58,099 is: 85,241.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,599 : 58,099 = 58,099 : x
  2. Step 2: Convert to fraction form
    39,599/58,099 = 58,099/x
  3. Step 3: Cross multiply
    39,599x = 58,099 × 58,099
  4. Step 4: Simplify right side
    39,599x = 3,375,493,801
  5. Step 5: Solve for x
    x = 3,375,493,801/39,599
  6. Step 6: Final answer
    x = 85,241.90

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.