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Finding the Third Proportional to 18,817 and 41,474

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Solution

The third proportional to 18,817 and 41,474 is: 91,411.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,817 : 41,474 = 41,474 : x
  2. Step 2: Convert to fraction form
    18,817/41,474 = 41,474/x
  3. Step 3: Cross multiply
    18,817x = 41,474 × 41,474
  4. Step 4: Simplify right side
    18,817x = 1,720,092,676
  5. Step 5: Solve for x
    x = 1,720,092,676/18,817
  6. Step 6: Final answer
    x = 91,411.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.