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Finding the Third Proportional to 41.73 and 60.96

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Solution

The third proportional to 41.73 and 60.96 is: 89.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.73 : 60.96 = 60.96 : x
  2. Step 2: Convert to fraction form
    41.73/60.96 = 60.96/x
  3. Step 3: Cross multiply
    41.73x = 60.96 × 60.96
  4. Step 4: Simplify right side
    41.73x = 3,716.24
  5. Step 5: Solve for x
    x = 3,716.24/41.73
  6. Step 6: Final answer
    x = 89.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.