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Finding the Third Proportional to 17,866 and 36,218

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Solution

The third proportional to 17,866 and 36,218 is: 73,421.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,866 : 36,218 = 36,218 : x
  2. Step 2: Convert to fraction form
    17,866/36,218 = 36,218/x
  3. Step 3: Cross multiply
    17,866x = 36,218 × 36,218
  4. Step 4: Simplify right side
    17,866x = 1,311,743,524
  5. Step 5: Solve for x
    x = 1,311,743,524/17,866
  6. Step 6: Final answer
    x = 73,421.22

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.