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Finding the Third Proportional to 8.66 and 15.88

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Solution

The third proportional to 8.66 and 15.88 is: 29.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.66 : 15.88 = 15.88 : x
  2. Step 2: Convert to fraction form
    8.66/15.88 = 15.88/x
  3. Step 3: Cross multiply
    8.66x = 15.88 × 15.88
  4. Step 4: Simplify right side
    8.66x = 252.04
  5. Step 5: Solve for x
    x = 252.04/8.66
  6. Step 6: Final answer
    x = 29.11

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.