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Finding the Third Proportional to 38 and 44.38

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Solution

The third proportional to 38 and 44.38 is: 51.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38 : 44.38 = 44.38 : x
  2. Step 2: Convert to fraction form
    38/44.38 = 44.38/x
  3. Step 3: Cross multiply
    38x = 44.38 × 44.38
  4. Step 4: Simplify right side
    38x = 1,969.14
  5. Step 5: Solve for x
    x = 1,969.14/38
  6. Step 6: Final answer
    x = 51.82

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.