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Finding the Third Proportional to 38.16 and 50.91

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Solution

The third proportional to 38.16 and 50.91 is: 67.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.16 : 50.91 = 50.91 : x
  2. Step 2: Convert to fraction form
    38.16/50.91 = 50.91/x
  3. Step 3: Cross multiply
    38.16x = 50.91 × 50.91
  4. Step 4: Simplify right side
    38.16x = 2,591.45
  5. Step 5: Solve for x
    x = 2,591.45/38.16
  6. Step 6: Final answer
    x = 67.92

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