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Finding the Third Proportional to 31.13 and 67.41

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Solution

The third proportional to 31.13 and 67.41 is: 145.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.13 : 67.41 = 67.41 : x
  2. Step 2: Convert to fraction form
    31.13/67.41 = 67.41/x
  3. Step 3: Cross multiply
    31.13x = 67.41 × 67.41
  4. Step 4: Simplify right side
    31.13x = 4,543.60
  5. Step 5: Solve for x
    x = 4,543.60/31.13
  6. Step 6: Final answer
    x = 145.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.