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Finding the Third Proportional to 41.20 and 97.74

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Solution

The third proportional to 41.20 and 97.74 is: 231.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.20 : 97.74 = 97.74 : x
  2. Step 2: Convert to fraction form
    41.20/97.74 = 97.74/x
  3. Step 3: Cross multiply
    41.20x = 97.74 × 97.74
  4. Step 4: Simplify right side
    41.20x = 9,552.35
  5. Step 5: Solve for x
    x = 9,552.35/41.20
  6. Step 6: Final answer
    x = 231.86

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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.