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Finding the Third Proportional to 18,919 and 41,113

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Solution

The third proportional to 18,919 and 41,113 is: 89,342.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,919 : 41,113 = 41,113 : x
  2. Step 2: Convert to fraction form
    18,919/41,113 = 41,113/x
  3. Step 3: Cross multiply
    18,919x = 41,113 × 41,113
  4. Step 4: Simplify right side
    18,919x = 1,690,278,769
  5. Step 5: Solve for x
    x = 1,690,278,769/18,919
  6. Step 6: Final answer
    x = 89,342.92

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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.