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Finding the Third Proportional to 12.56 and 18.66

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Solution

The third proportional to 12.56 and 18.66 is: 27.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.56 : 18.66 = 18.66 : x
  2. Step 2: Convert to fraction form
    12.56/18.66 = 18.66/x
  3. Step 3: Cross multiply
    12.56x = 18.66 × 18.66
  4. Step 4: Simplify right side
    12.56x = 348.06
  5. Step 5: Solve for x
    x = 348.06/12.56
  6. Step 6: Final answer
    x = 27.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.