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Finding the Third Proportional to 36.25 and 52.75

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Solution

The third proportional to 36.25 and 52.75 is: 76.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.25 : 52.75 = 52.75 : x
  2. Step 2: Convert to fraction form
    36.25/52.75 = 52.75/x
  3. Step 3: Cross multiply
    36.25x = 52.75 × 52.75
  4. Step 4: Simplify right side
    36.25x = 2,782.56
  5. Step 5: Solve for x
    x = 2,782.56/36.25
  6. Step 6: Final answer
    x = 76.76

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.