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Finding the Third Proportional to 31.75 and 83.38

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Solution

The third proportional to 31.75 and 83.38 is: 218.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.75 : 83.38 = 83.38 : x
  2. Step 2: Convert to fraction form
    31.75/83.38 = 83.38/x
  3. Step 3: Cross multiply
    31.75x = 83.38 × 83.38
  4. Step 4: Simplify right side
    31.75x = 6,951.39
  5. Step 5: Solve for x
    x = 6,951.39/31.75
  6. Step 6: Final answer
    x = 218.94

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.