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Finding the Third Proportional to 37.41 and 41.85

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Solution

The third proportional to 37.41 and 41.85 is: 46.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.41 : 41.85 = 41.85 : x
  2. Step 2: Convert to fraction form
    37.41/41.85 = 41.85/x
  3. Step 3: Cross multiply
    37.41x = 41.85 × 41.85
  4. Step 4: Simplify right side
    37.41x = 1,751.67
  5. Step 5: Solve for x
    x = 1,751.67/37.41
  6. Step 6: Final answer
    x = 46.82

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.