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Finding the Third Proportional to 27,923 and 60,761

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Solution

The third proportional to 27,923 and 60,761 is: 132,217.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,923 : 60,761 = 60,761 : x
  2. Step 2: Convert to fraction form
    27,923/60,761 = 60,761/x
  3. Step 3: Cross multiply
    27,923x = 60,761 × 60,761
  4. Step 4: Simplify right side
    27,923x = 3,691,899,121
  5. Step 5: Solve for x
    x = 3,691,899,121/27,923
  6. Step 6: Final answer
    x = 132,217.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.