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Finding the Third Proportional to 4.01 and 6.85

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Solution

The third proportional to 4.01 and 6.85 is: 11.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.01 : 6.85 = 6.85 : x
  2. Step 2: Convert to fraction form
    4.01/6.85 = 6.85/x
  3. Step 3: Cross multiply
    4.01x = 6.85 × 6.85
  4. Step 4: Simplify right side
    4.01x = 46.86
  5. Step 5: Solve for x
    x = 46.86/4.01
  6. Step 6: Final answer
    x = 11.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.