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Finding the Third Proportional to 20,538 and 29,348

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Solution

The third proportional to 20,538 and 29,348 is: 41,937.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,538 : 29,348 = 29,348 : x
  2. Step 2: Convert to fraction form
    20,538/29,348 = 29,348/x
  3. Step 3: Cross multiply
    20,538x = 29,348 × 29,348
  4. Step 4: Simplify right side
    20,538x = 861,305,104
  5. Step 5: Solve for x
    x = 861,305,104/20,538
  6. Step 6: Final answer
    x = 41,937.15

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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.