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Finding the Third Proportional to 57,593 and 77,398

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Solution

The third proportional to 57,593 and 77,398 is: 104,013.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,593 : 77,398 = 77,398 : x
  2. Step 2: Convert to fraction form
    57,593/77,398 = 77,398/x
  3. Step 3: Cross multiply
    57,593x = 77,398 × 77,398
  4. Step 4: Simplify right side
    57,593x = 5,990,450,404
  5. Step 5: Solve for x
    x = 5,990,450,404/57,593
  6. Step 6: Final answer
    x = 104,013.52

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.