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Finding the Third Proportional to 8.44 and 12.28

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Solution

The third proportional to 8.44 and 12.28 is: 17.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.44 : 12.28 = 12.28 : x
  2. Step 2: Convert to fraction form
    8.44/12.28 = 12.28/x
  3. Step 3: Cross multiply
    8.44x = 12.28 × 12.28
  4. Step 4: Simplify right side
    8.44x = 150.83
  5. Step 5: Solve for x
    x = 150.83/8.44
  6. Step 6: Final answer
    x = 17.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.