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Finding the Third Proportional to 18,922 and 41,126

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Solution

The third proportional to 18,922 and 41,126 is: 89,385.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,922 : 41,126 = 41,126 : x
  2. Step 2: Convert to fraction form
    18,922/41,126 = 41,126/x
  3. Step 3: Cross multiply
    18,922x = 41,126 × 41,126
  4. Step 4: Simplify right side
    18,922x = 1,691,347,876
  5. Step 5: Solve for x
    x = 1,691,347,876/18,922
  6. Step 6: Final answer
    x = 89,385.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.