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Finding the Third Proportional to 41.33 and 97.91

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Solution

The third proportional to 41.33 and 97.91 is: 231.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.33 : 97.91 = 97.91 : x
  2. Step 2: Convert to fraction form
    41.33/97.91 = 97.91/x
  3. Step 3: Cross multiply
    41.33x = 97.91 × 97.91
  4. Step 4: Simplify right side
    41.33x = 9,585.97
  5. Step 5: Solve for x
    x = 9,585.97/41.33
  6. Step 6: Final answer
    x = 231.93

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.