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Finding the Third Proportional to 3.85 and 5.84

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Solution

The third proportional to 3.85 and 5.84 is: 8.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.85 : 5.84 = 5.84 : x
  2. Step 2: Convert to fraction form
    3.85/5.84 = 5.84/x
  3. Step 3: Cross multiply
    3.85x = 5.84 × 5.84
  4. Step 4: Simplify right side
    3.85x = 34.09
  5. Step 5: Solve for x
    x = 34.09/3.85
  6. Step 6: Final answer
    x = 8.86

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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.