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Finding the Third Proportional to 8.39 and 12.27

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Solution

The third proportional to 8.39 and 12.27 is: 17.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.39 : 12.27 = 12.27 : x
  2. Step 2: Convert to fraction form
    8.39/12.27 = 12.27/x
  3. Step 3: Cross multiply
    8.39x = 12.27 × 12.27
  4. Step 4: Simplify right side
    8.39x = 150.50
  5. Step 5: Solve for x
    x = 150.50/8.39
  6. Step 6: Final answer
    x = 17.94

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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.