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Finding the Third Proportional to 20,901 and 29,294

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Solution

The third proportional to 20,901 and 29,294 is: 41,057.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,901 : 29,294 = 29,294 : x
  2. Step 2: Convert to fraction form
    20,901/29,294 = 29,294/x
  3. Step 3: Cross multiply
    20,901x = 29,294 × 29,294
  4. Step 4: Simplify right side
    20,901x = 858,138,436
  5. Step 5: Solve for x
    x = 858,138,436/20,901
  6. Step 6: Final answer
    x = 41,057.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.