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Finding the Third Proportional to 31.75 and 80.88

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Solution

The third proportional to 31.75 and 80.88 is: 206.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.75 : 80.88 = 80.88 : x
  2. Step 2: Convert to fraction form
    31.75/80.88 = 80.88/x
  3. Step 3: Cross multiply
    31.75x = 80.88 × 80.88
  4. Step 4: Simplify right side
    31.75x = 6,540.77
  5. Step 5: Solve for x
    x = 6,540.77/31.75
  6. Step 6: Final answer
    x = 206.01

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Why These Related Problems?

These problems maintain the same ratio (2.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.