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Finding the Third Proportional to 27,151 and 40,561

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Solution

The third proportional to 27,151 and 40,561 is: 60,594.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,151 : 40,561 = 40,561 : x
  2. Step 2: Convert to fraction form
    27,151/40,561 = 40,561/x
  3. Step 3: Cross multiply
    27,151x = 40,561 × 40,561
  4. Step 4: Simplify right side
    27,151x = 1,645,194,721
  5. Step 5: Solve for x
    x = 1,645,194,721/27,151
  6. Step 6: Final answer
    x = 60,594.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.