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Finding the Third Proportional to 12.66 and 13.78

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Solution

The third proportional to 12.66 and 13.78 is: 15.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.66 : 13.78 = 13.78 : x
  2. Step 2: Convert to fraction form
    12.66/13.78 = 13.78/x
  3. Step 3: Cross multiply
    12.66x = 13.78 × 13.78
  4. Step 4: Simplify right side
    12.66x = 189.92
  5. Step 5: Solve for x
    x = 189.92/12.66
  6. Step 6: Final answer
    x = 15.01

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.