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Finding the Third Proportional to 12,678 and 27,542

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Solution

The third proportional to 12,678 and 27,542 is: 59,832.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678 : 27,542 = 27,542 : x
  2. Step 2: Convert to fraction form
    12,678/27,542 = 27,542/x
  3. Step 3: Cross multiply
    12,678x = 27,542 × 27,542
  4. Step 4: Simplify right side
    12,678x = 758,561,764
  5. Step 5: Solve for x
    x = 758,561,764/12,678
  6. Step 6: Final answer
    x = 59,832.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.