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Finding the Third Proportional to 18,933 and 41,181

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Solution

The third proportional to 18,933 and 41,181 is: 89,572.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,933 : 41,181 = 41,181 : x
  2. Step 2: Convert to fraction form
    18,933/41,181 = 41,181/x
  3. Step 3: Cross multiply
    18,933x = 41,181 × 41,181
  4. Step 4: Simplify right side
    18,933x = 1,695,874,761
  5. Step 5: Solve for x
    x = 1,695,874,761/18,933
  6. Step 6: Final answer
    x = 89,572.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.