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Finding the Third Proportional to 37.83 and 60.96

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Solution

The third proportional to 37.83 and 60.96 is: 98.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.83 : 60.96 = 60.96 : x
  2. Step 2: Convert to fraction form
    37.83/60.96 = 60.96/x
  3. Step 3: Cross multiply
    37.83x = 60.96 × 60.96
  4. Step 4: Simplify right side
    37.83x = 3,716.24
  5. Step 5: Solve for x
    x = 3,716.24/37.83
  6. Step 6: Final answer
    x = 98.24

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.