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Finding the Third Proportional to 41.13 and 96.82

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Solution

The third proportional to 41.13 and 96.82 is: 227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.13 : 96.82 = 96.82 : x
  2. Step 2: Convert to fraction form
    41.13/96.82 = 96.82/x
  3. Step 3: Cross multiply
    41.13x = 96.82 × 96.82
  4. Step 4: Simplify right side
    41.13x = 9,374.17
  5. Step 5: Solve for x
    x = 9,374.17/41.13
  6. Step 6: Final answer
    x = 227.90

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.