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Finding the Third Proportional to 20,236 and 41,474

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Solution

The third proportional to 20,236 and 41,474 is: 85,001.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,236 : 41,474 = 41,474 : x
  2. Step 2: Convert to fraction form
    20,236/41,474 = 41,474/x
  3. Step 3: Cross multiply
    20,236x = 41,474 × 41,474
  4. Step 4: Simplify right side
    20,236x = 1,720,092,676
  5. Step 5: Solve for x
    x = 1,720,092,676/20,236
  6. Step 6: Final answer
    x = 85,001.61

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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.