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Finding the Third Proportional to 38.06 and 50.81

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Solution

The third proportional to 38.06 and 50.81 is: 67.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.06 : 50.81 = 50.81 : x
  2. Step 2: Convert to fraction form
    38.06/50.81 = 50.81/x
  3. Step 3: Cross multiply
    38.06x = 50.81 × 50.81
  4. Step 4: Simplify right side
    38.06x = 2,581.91
  5. Step 5: Solve for x
    x = 2,581.91/38.06
  6. Step 6: Final answer
    x = 67.83

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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.