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Finding the Third Proportional to 41.02 and 57.89

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Solution

The third proportional to 41.02 and 57.89 is: 81.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.02 : 57.89 = 57.89 : x
  2. Step 2: Convert to fraction form
    41.02/57.89 = 57.89/x
  3. Step 3: Cross multiply
    41.02x = 57.89 × 57.89
  4. Step 4: Simplify right side
    41.02x = 3,351.32
  5. Step 5: Solve for x
    x = 3,351.32/41.02
  6. Step 6: Final answer
    x = 81.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.