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Finding the Third Proportional to 29,676.38 and 60,561

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Solution

The third proportional to 29,676.38 and 60,561 is: 123,587.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,676.38 : 60,561 = 60,561 : x
  2. Step 2: Convert to fraction form
    29,676.38/60,561 = 60,561/x
  3. Step 3: Cross multiply
    29,676.38x = 60,561 × 60,561
  4. Step 4: Simplify right side
    29,676.38x = 3,667,634,721
  5. Step 5: Solve for x
    x = 3,667,634,721/29,676.38
  6. Step 6: Final answer
    x = 123,587.69

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.