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Finding the Third Proportional to 52.38 and 76.85

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Solution

The third proportional to 52.38 and 76.85 is: 112.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.38 : 76.85 = 76.85 : x
  2. Step 2: Convert to fraction form
    52.38/76.85 = 76.85/x
  3. Step 3: Cross multiply
    52.38x = 76.85 × 76.85
  4. Step 4: Simplify right side
    52.38x = 5,906.16
  5. Step 5: Solve for x
    x = 5,906.16/52.38
  6. Step 6: Final answer
    x = 112.75

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.