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Finding the Third Proportional to 20,092 and 43,757

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Solution

The third proportional to 20,092 and 43,757 is: 95,295.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,092 : 43,757 = 43,757 : x
  2. Step 2: Convert to fraction form
    20,092/43,757 = 43,757/x
  3. Step 3: Cross multiply
    20,092x = 43,757 × 43,757
  4. Step 4: Simplify right side
    20,092x = 1,914,675,049
  5. Step 5: Solve for x
    x = 1,914,675,049/20,092
  6. Step 6: Final answer
    x = 95,295.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.