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Finding the Third Proportional to 11,950 and 25,542

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Solution

The third proportional to 11,950 and 25,542 is: 54,593.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,950 : 25,542 = 25,542 : x
  2. Step 2: Convert to fraction form
    11,950/25,542 = 25,542/x
  3. Step 3: Cross multiply
    11,950x = 25,542 × 25,542
  4. Step 4: Simplify right side
    11,950x = 652,393,764
  5. Step 5: Solve for x
    x = 652,393,764/11,950
  6. Step 6: Final answer
    x = 54,593.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.