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Finding the Third Proportional to 31.50 and 82

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Solution

The third proportional to 31.50 and 82 is: 213.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.50 : 82 = 82 : x
  2. Step 2: Convert to fraction form
    31.50/82 = 82/x
  3. Step 3: Cross multiply
    31.50x = 82 × 82
  4. Step 4: Simplify right side
    31.50x = 6,724
  5. Step 5: Solve for x
    x = 6,724/31.50
  6. Step 6: Final answer
    x = 213.46

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.