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Finding the Third Proportional to 12.14 and 12.68

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Solution

The third proportional to 12.14 and 12.68 is: 13.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.14 : 12.68 = 12.68 : x
  2. Step 2: Convert to fraction form
    12.14/12.68 = 12.68/x
  3. Step 3: Cross multiply
    12.14x = 12.68 × 12.68
  4. Step 4: Simplify right side
    12.14x = 160.75
  5. Step 5: Solve for x
    x = 160.75/12.14
  6. Step 6: Final answer
    x = 13.24

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Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.