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Finding the Third Proportional to 39,138 and 60,651

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Solution

The third proportional to 39,138 and 60,651 is: 93,989.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,138 : 60,651 = 60,651 : x
  2. Step 2: Convert to fraction form
    39,138/60,651 = 60,651/x
  3. Step 3: Cross multiply
    39,138x = 60,651 × 60,651
  4. Step 4: Simplify right side
    39,138x = 3,678,543,801
  5. Step 5: Solve for x
    x = 3,678,543,801/39,138
  6. Step 6: Final answer
    x = 93,989.06

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.