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Finding the Third Proportional to 8,017 and 17,218

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Solution

The third proportional to 8,017 and 17,218 is: 36,978.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,017 : 17,218 = 17,218 : x
  2. Step 2: Convert to fraction form
    8,017/17,218 = 17,218/x
  3. Step 3: Cross multiply
    8,017x = 17,218 × 17,218
  4. Step 4: Simplify right side
    8,017x = 296,459,524
  5. Step 5: Solve for x
    x = 296,459,524/8,017
  6. Step 6: Final answer
    x = 36,978.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.