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Finding the Third Proportional to 47,976 and 67,108

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Solution

The third proportional to 47,976 and 67,108 is: 93,869.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,976 : 67,108 = 67,108 : x
  2. Step 2: Convert to fraction form
    47,976/67,108 = 67,108/x
  3. Step 3: Cross multiply
    47,976x = 67,108 × 67,108
  4. Step 4: Simplify right side
    47,976x = 4,503,483,664
  5. Step 5: Solve for x
    x = 4,503,483,664/47,976
  6. Step 6: Final answer
    x = 93,869.51

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.