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Finding the Third Proportional to 29,561 and 44,238

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Solution

The third proportional to 29,561 and 44,238 is: 66,202.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,561 : 44,238 = 44,238 : x
  2. Step 2: Convert to fraction form
    29,561/44,238 = 44,238/x
  3. Step 3: Cross multiply
    29,561x = 44,238 × 44,238
  4. Step 4: Simplify right side
    29,561x = 1,957,000,644
  5. Step 5: Solve for x
    x = 1,957,000,644/29,561
  6. Step 6: Final answer
    x = 66,202.11

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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.