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Finding the Third Proportional to 20,540 and 29,352

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Solution

The third proportional to 20,540 and 29,352 is: 41,944.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,540 : 29,352 = 29,352 : x
  2. Step 2: Convert to fraction form
    20,540/29,352 = 29,352/x
  3. Step 3: Cross multiply
    20,540x = 29,352 × 29,352
  4. Step 4: Simplify right side
    20,540x = 861,539,904
  5. Step 5: Solve for x
    x = 861,539,904/20,540
  6. Step 6: Final answer
    x = 41,944.49

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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.