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Finding the Third Proportional to 41.92 and 65.73

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Solution

The third proportional to 41.92 and 65.73 is: 103.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.92 : 65.73 = 65.73 : x
  2. Step 2: Convert to fraction form
    41.92/65.73 = 65.73/x
  3. Step 3: Cross multiply
    41.92x = 65.73 × 65.73
  4. Step 4: Simplify right side
    41.92x = 4,320.88
  5. Step 5: Solve for x
    x = 4,320.88/41.92
  6. Step 6: Final answer
    x = 103.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.