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Finding the Third Proportional to 8.44 and 11.91

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Solution

The third proportional to 8.44 and 11.91 is: 16.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.44 : 11.91 = 11.91 : x
  2. Step 2: Convert to fraction form
    8.44/11.91 = 11.91/x
  3. Step 3: Cross multiply
    8.44x = 11.91 × 11.91
  4. Step 4: Simplify right side
    8.44x = 141.76
  5. Step 5: Solve for x
    x = 141.76/8.44
  6. Step 6: Final answer
    x = 16.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.