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Finding the Third Proportional to 8.13 and 12.44

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Solution

The third proportional to 8.13 and 12.44 is: 19.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.13 : 12.44 = 12.44 : x
  2. Step 2: Convert to fraction form
    8.13/12.44 = 12.44/x
  3. Step 3: Cross multiply
    8.13x = 12.44 × 12.44
  4. Step 4: Simplify right side
    8.13x = 154.69
  5. Step 5: Solve for x
    x = 154.69/8.13
  6. Step 6: Final answer
    x = 19.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.