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Finding the Third Proportional to 11,949 and 25,542

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Solution

The third proportional to 11,949 and 25,542 is: 54,598.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,949 : 25,542 = 25,542 : x
  2. Step 2: Convert to fraction form
    11,949/25,542 = 25,542/x
  3. Step 3: Cross multiply
    11,949x = 25,542 × 25,542
  4. Step 4: Simplify right side
    11,949x = 652,393,764
  5. Step 5: Solve for x
    x = 652,393,764/11,949
  6. Step 6: Final answer
    x = 54,598.19

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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.