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Finding the Third Proportional to 11.98 and 16.66

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Solution

The third proportional to 11.98 and 16.66 is: 23.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.98 : 16.66 = 16.66 : x
  2. Step 2: Convert to fraction form
    11.98/16.66 = 16.66/x
  3. Step 3: Cross multiply
    11.98x = 16.66 × 16.66
  4. Step 4: Simplify right side
    11.98x = 277.68
  5. Step 5: Solve for x
    x = 277.68/11.98
  6. Step 6: Final answer
    x = 23.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.