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Finding the Third Proportional to 2.67 and 5.85

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Solution

The third proportional to 2.67 and 5.85 is: 12.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.67 : 5.85 = 5.85 : x
  2. Step 2: Convert to fraction form
    2.67/5.85 = 5.85/x
  3. Step 3: Cross multiply
    2.67x = 5.85 × 5.85
  4. Step 4: Simplify right side
    2.67x = 34.24
  5. Step 5: Solve for x
    x = 34.24/2.67
  6. Step 6: Final answer
    x = 12.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.