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Finding the Third Proportional to 6.96 and 16.85

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Solution

The third proportional to 6.96 and 16.85 is: 40.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.96 : 16.85 = 16.85 : x
  2. Step 2: Convert to fraction form
    6.96/16.85 = 16.85/x
  3. Step 3: Cross multiply
    6.96x = 16.85 × 16.85
  4. Step 4: Simplify right side
    6.96x = 284.06
  5. Step 5: Solve for x
    x = 284.06/6.96
  6. Step 6: Final answer
    x = 40.84

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.