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Finding the Third Proportional to 3.97 and 8.15

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Solution

The third proportional to 3.97 and 8.15 is: 16.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.97 : 8.15 = 8.15 : x
  2. Step 2: Convert to fraction form
    3.97/8.15 = 8.15/x
  3. Step 3: Cross multiply
    3.97x = 8.15 × 8.15
  4. Step 4: Simplify right side
    3.97x = 66.42
  5. Step 5: Solve for x
    x = 66.42/3.97
  6. Step 6: Final answer
    x = 16.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.