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Finding the Third Proportional to 48.38 and 105.38

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Solution

The third proportional to 48.38 and 105.38 is: 229.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.38 : 105.38 = 105.38 : x
  2. Step 2: Convert to fraction form
    48.38/105.38 = 105.38/x
  3. Step 3: Cross multiply
    48.38x = 105.38 × 105.38
  4. Step 4: Simplify right side
    48.38x = 11,103.89
  5. Step 5: Solve for x
    x = 11,103.89/48.38
  6. Step 6: Final answer
    x = 229.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.