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Finding the Third Proportional to 18,662 and 41,117

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Solution

The third proportional to 18,662 and 41,117 is: 90,590.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,662 : 41,117 = 41,117 : x
  2. Step 2: Convert to fraction form
    18,662/41,117 = 41,117/x
  3. Step 3: Cross multiply
    18,662x = 41,117 × 41,117
  4. Step 4: Simplify right side
    18,662x = 1,690,607,689
  5. Step 5: Solve for x
    x = 1,690,607,689/18,662
  6. Step 6: Final answer
    x = 90,590.92

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