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Finding the Third Proportional to 8.66 and 14.43

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Solution

The third proportional to 8.66 and 14.43 is: 24.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.66 : 14.43 = 14.43 : x
  2. Step 2: Convert to fraction form
    8.66/14.43 = 14.43/x
  3. Step 3: Cross multiply
    8.66x = 14.43 × 14.43
  4. Step 4: Simplify right side
    8.66x = 208.30
  5. Step 5: Solve for x
    x = 208.30/8.66
  6. Step 6: Final answer
    x = 24.05

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.