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Finding the Third Proportional to 11.67 and 15.61

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Solution

The third proportional to 11.67 and 15.61 is: 20.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.67 : 15.61 = 15.61 : x
  2. Step 2: Convert to fraction form
    11.67/15.61 = 15.61/x
  3. Step 3: Cross multiply
    11.67x = 15.61 × 15.61
  4. Step 4: Simplify right side
    11.67x = 243.65
  5. Step 5: Solve for x
    x = 243.65/11.67
  6. Step 6: Final answer
    x = 20.88

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.