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Finding the Third Proportional to 39.75 and 82.75

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Solution

The third proportional to 39.75 and 82.75 is: 172.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.75 : 82.75 = 82.75 : x
  2. Step 2: Convert to fraction form
    39.75/82.75 = 82.75/x
  3. Step 3: Cross multiply
    39.75x = 82.75 × 82.75
  4. Step 4: Simplify right side
    39.75x = 6,847.56
  5. Step 5: Solve for x
    x = 6,847.56/39.75
  6. Step 6: Final answer
    x = 172.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.