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Finding the Third Proportional to 42.75 and 67.13

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Solution

The third proportional to 42.75 and 67.13 is: 105.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.75 : 67.13 = 67.13 : x
  2. Step 2: Convert to fraction form
    42.75/67.13 = 67.13/x
  3. Step 3: Cross multiply
    42.75x = 67.13 × 67.13
  4. Step 4: Simplify right side
    42.75x = 4,505.77
  5. Step 5: Solve for x
    x = 4,505.77/42.75
  6. Step 6: Final answer
    x = 105.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.