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Finding the Third Proportional to 54,757 and 60,517

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Solution

The third proportional to 54,757 and 60,517 is: 66,882.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,757 : 60,517 = 60,517 : x
  2. Step 2: Convert to fraction form
    54,757/60,517 = 60,517/x
  3. Step 3: Cross multiply
    54,757x = 60,517 × 60,517
  4. Step 4: Simplify right side
    54,757x = 3,662,307,289
  5. Step 5: Solve for x
    x = 3,662,307,289/54,757
  6. Step 6: Final answer
    x = 66,882.91

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.