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Finding the Third Proportional to 5.39 and 8.09

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Solution

The third proportional to 5.39 and 8.09 is: 12.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.39 : 8.09 = 8.09 : x
  2. Step 2: Convert to fraction form
    5.39/8.09 = 8.09/x
  3. Step 3: Cross multiply
    5.39x = 8.09 × 8.09
  4. Step 4: Simplify right side
    5.39x = 65.38
  5. Step 5: Solve for x
    x = 65.38/5.39
  6. Step 6: Final answer
    x = 12.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.