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Finding the Third Proportional to 20,193 and 41,393

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Solution

The third proportional to 20,193 and 41,393 is: 84,850.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,193 : 41,393 = 41,393 : x
  2. Step 2: Convert to fraction form
    20,193/41,393 = 41,393/x
  3. Step 3: Cross multiply
    20,193x = 41,393 × 41,393
  4. Step 4: Simplify right side
    20,193x = 1,713,380,449
  5. Step 5: Solve for x
    x = 1,713,380,449/20,193
  6. Step 6: Final answer
    x = 84,850.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.