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Finding the Third Proportional to 3.82 and 5.79

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Solution

The third proportional to 3.82 and 5.79 is: 8.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.82 : 5.79 = 5.79 : x
  2. Step 2: Convert to fraction form
    3.82/5.79 = 5.79/x
  3. Step 3: Cross multiply
    3.82x = 5.79 × 5.79
  4. Step 4: Simplify right side
    3.82x = 33.55
  5. Step 5: Solve for x
    x = 33.55/3.82
  6. Step 6: Final answer
    x = 8.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.