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Finding the Third Proportional to 42.38 and 103.94

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Solution

The third proportional to 42.38 and 103.94 is: 254.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.38 : 103.94 = 103.94 : x
  2. Step 2: Convert to fraction form
    42.38/103.94 = 103.94/x
  3. Step 3: Cross multiply
    42.38x = 103.94 × 103.94
  4. Step 4: Simplify right side
    42.38x = 10,803.00
  5. Step 5: Solve for x
    x = 10,803.00/42.38
  6. Step 6: Final answer
    x = 254.94

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These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.