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Finding the Third Proportional to 31 and 67

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Solution

The third proportional to 31 and 67 is: 144.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31 : 67 = 67 : x
  2. Step 2: Convert to fraction form
    31/67 = 67/x
  3. Step 3: Cross multiply
    31x = 67 × 67
  4. Step 4: Simplify right side
    31x = 4,489
  5. Step 5: Solve for x
    x = 4,489/31
  6. Step 6: Final answer
    x = 144.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.