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Finding the Third Proportional to 8,019 and 17,278.31

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Solution

The third proportional to 8,019 and 17,278.31 is: 37,229.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,019 : 17,278.31 = 17,278.31 : x
  2. Step 2: Convert to fraction form
    8,019/17,278.31 = 17,278.31/x
  3. Step 3: Cross multiply
    8,019x = 17,278.31 × 17,278.31
  4. Step 4: Simplify right side
    8,019x = 298,540,082.85
  5. Step 5: Solve for x
    x = 298,540,082.85/8,019
  6. Step 6: Final answer
    x = 37,229.09

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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.