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Finding the Third Proportional to 42.75 and 63.38

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Solution

The third proportional to 42.75 and 63.38 is: 93.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.75 : 63.38 = 63.38 : x
  2. Step 2: Convert to fraction form
    42.75/63.38 = 63.38/x
  3. Step 3: Cross multiply
    42.75x = 63.38 × 63.38
  4. Step 4: Simplify right side
    42.75x = 4,016.39
  5. Step 5: Solve for x
    x = 4,016.39/42.75
  6. Step 6: Final answer
    x = 93.95

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.