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Finding the Third Proportional to 8.86 and 13.71

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Solution

The third proportional to 8.86 and 13.71 is: 21.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.86 : 13.71 = 13.71 : x
  2. Step 2: Convert to fraction form
    8.86/13.71 = 13.71/x
  3. Step 3: Cross multiply
    8.86x = 13.71 × 13.71
  4. Step 4: Simplify right side
    8.86x = 187.99
  5. Step 5: Solve for x
    x = 187.99/8.86
  6. Step 6: Final answer
    x = 21.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.