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Finding the Third Proportional to 11.97 and 18.19

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Solution

The third proportional to 11.97 and 18.19 is: 27.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.97 : 18.19 = 18.19 : x
  2. Step 2: Convert to fraction form
    11.97/18.19 = 18.19/x
  3. Step 3: Cross multiply
    11.97x = 18.19 × 18.19
  4. Step 4: Simplify right side
    11.97x = 330.79
  5. Step 5: Solve for x
    x = 330.79/11.97
  6. Step 6: Final answer
    x = 27.64

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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.