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Finding the Third Proportional to 29,689 and 43,561

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Solution

The third proportional to 29,689 and 43,561 is: 63,914.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,689 : 43,561 = 43,561 : x
  2. Step 2: Convert to fraction form
    29,689/43,561 = 43,561/x
  3. Step 3: Cross multiply
    29,689x = 43,561 × 43,561
  4. Step 4: Simplify right side
    29,689x = 1,897,560,721
  5. Step 5: Solve for x
    x = 1,897,560,721/29,689
  6. Step 6: Final answer
    x = 63,914.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.