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Finding the Third Proportional to 27,542 and 41,272

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Solution

The third proportional to 27,542 and 41,272 is: 61,846.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,542 : 41,272 = 41,272 : x
  2. Step 2: Convert to fraction form
    27,542/41,272 = 41,272/x
  3. Step 3: Cross multiply
    27,542x = 41,272 × 41,272
  4. Step 4: Simplify right side
    27,542x = 1,703,377,984
  5. Step 5: Solve for x
    x = 1,703,377,984/27,542
  6. Step 6: Final answer
    x = 61,846.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.