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Finding the Third Proportional to 8.14 and 16.71

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Solution

The third proportional to 8.14 and 16.71 is: 34.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.14 : 16.71 = 16.71 : x
  2. Step 2: Convert to fraction form
    8.14/16.71 = 16.71/x
  3. Step 3: Cross multiply
    8.14x = 16.71 × 16.71
  4. Step 4: Simplify right side
    8.14x = 279.31
  5. Step 5: Solve for x
    x = 279.31/8.14
  6. Step 6: Final answer
    x = 34.30

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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.