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Finding the Third Proportional to 20,359 and 29,059

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Solution

The third proportional to 20,359 and 29,059 is: 41,476.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,359 : 29,059 = 29,059 : x
  2. Step 2: Convert to fraction form
    20,359/29,059 = 29,059/x
  3. Step 3: Cross multiply
    20,359x = 29,059 × 29,059
  4. Step 4: Simplify right side
    20,359x = 844,425,481
  5. Step 5: Solve for x
    x = 844,425,481/20,359
  6. Step 6: Final answer
    x = 41,476.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.