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Finding the Third Proportional to 6.96 and 16.41

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Solution

The third proportional to 6.96 and 16.41 is: 38.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.96 : 16.41 = 16.41 : x
  2. Step 2: Convert to fraction form
    6.96/16.41 = 16.41/x
  3. Step 3: Cross multiply
    6.96x = 16.41 × 16.41
  4. Step 4: Simplify right side
    6.96x = 269.45
  5. Step 5: Solve for x
    x = 269.45/6.96
  6. Step 6: Final answer
    x = 38.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.