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Finding the Third Proportional to 18,165 and 40,218

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Solution

The third proportional to 18,165 and 40,218 is: 89,044.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,165 : 40,218 = 40,218 : x
  2. Step 2: Convert to fraction form
    18,165/40,218 = 40,218/x
  3. Step 3: Cross multiply
    18,165x = 40,218 × 40,218
  4. Step 4: Simplify right side
    18,165x = 1,617,487,524
  5. Step 5: Solve for x
    x = 1,617,487,524/18,165
  6. Step 6: Final answer
    x = 89,044.18

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.