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Finding the Third Proportional to 41.42 and 54.97

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Solution

The third proportional to 41.42 and 54.97 is: 72.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.42 : 54.97 = 54.97 : x
  2. Step 2: Convert to fraction form
    41.42/54.97 = 54.97/x
  3. Step 3: Cross multiply
    41.42x = 54.97 × 54.97
  4. Step 4: Simplify right side
    41.42x = 3,021.56
  5. Step 5: Solve for x
    x = 3,021.56/41.42
  6. Step 6: Final answer
    x = 72.95

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.