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Finding the Third Proportional to 8.00 and 12.14

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Solution

The third proportional to 8.00 and 12.14 is: 18.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.00 : 12.14 = 12.14 : x
  2. Step 2: Convert to fraction form
    8.00/12.14 = 12.14/x
  3. Step 3: Cross multiply
    8.00x = 12.14 × 12.14
  4. Step 4: Simplify right side
    8.00x = 147.31
  5. Step 5: Solve for x
    x = 147.31/8.00
  6. Step 6: Final answer
    x = 18.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.