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Finding the Third Proportional to 42.38 and 67.75

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Solution

The third proportional to 42.38 and 67.75 is: 108.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.38 : 67.75 = 67.75 : x
  2. Step 2: Convert to fraction form
    42.38/67.75 = 67.75/x
  3. Step 3: Cross multiply
    42.38x = 67.75 × 67.75
  4. Step 4: Simplify right side
    42.38x = 4,590.06
  5. Step 5: Solve for x
    x = 4,590.06/42.38
  6. Step 6: Final answer
    x = 108.32

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.