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Finding the Third Proportional to 37.27 and 49.41

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Solution

The third proportional to 37.27 and 49.41 is: 65.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.27 : 49.41 = 49.41 : x
  2. Step 2: Convert to fraction form
    37.27/49.41 = 49.41/x
  3. Step 3: Cross multiply
    37.27x = 49.41 × 49.41
  4. Step 4: Simplify right side
    37.27x = 2,440.98
  5. Step 5: Solve for x
    x = 2,440.98/37.27
  6. Step 6: Final answer
    x = 65.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.