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Finding the Third Proportional to 38 and 41.38

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Solution

The third proportional to 38 and 41.38 is: 45.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38 : 41.38 = 41.38 : x
  2. Step 2: Convert to fraction form
    38/41.38 = 41.38/x
  3. Step 3: Cross multiply
    38x = 41.38 × 41.38
  4. Step 4: Simplify right side
    38x = 1,711.89
  5. Step 5: Solve for x
    x = 1,711.89/38
  6. Step 6: Final answer
    x = 45.05

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.