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Finding the Third Proportional to 44,614 and 60,561

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Solution

The third proportional to 44,614 and 60,561 is: 82,208.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,614 : 60,561 = 60,561 : x
  2. Step 2: Convert to fraction form
    44,614/60,561 = 60,561/x
  3. Step 3: Cross multiply
    44,614x = 60,561 × 60,561
  4. Step 4: Simplify right side
    44,614x = 3,667,634,721
  5. Step 5: Solve for x
    x = 3,667,634,721/44,614
  6. Step 6: Final answer
    x = 82,208.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.