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Finding the Third Proportional to 39,558 and 59,505

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Solution

The third proportional to 39,558 and 59,505 is: 89,510.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,558 : 59,505 = 59,505 : x
  2. Step 2: Convert to fraction form
    39,558/59,505 = 59,505/x
  3. Step 3: Cross multiply
    39,558x = 59,505 × 59,505
  4. Step 4: Simplify right side
    39,558x = 3,540,845,025
  5. Step 5: Solve for x
    x = 3,540,845,025/39,558
  6. Step 6: Final answer
    x = 89,510.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.