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Finding the Third Proportional to 31.50 and 67.13

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Solution

The third proportional to 31.50 and 67.13 is: 143.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.50 : 67.13 = 67.13 : x
  2. Step 2: Convert to fraction form
    31.50/67.13 = 67.13/x
  3. Step 3: Cross multiply
    31.50x = 67.13 × 67.13
  4. Step 4: Simplify right side
    31.50x = 4,505.77
  5. Step 5: Solve for x
    x = 4,505.77/31.50
  6. Step 6: Final answer
    x = 143.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.