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Finding the Third Proportional to 41.38 and 101.19

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Solution

The third proportional to 41.38 and 101.19 is: 247.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.38 : 101.19 = 101.19 : x
  2. Step 2: Convert to fraction form
    41.38/101.19 = 101.19/x
  3. Step 3: Cross multiply
    41.38x = 101.19 × 101.19
  4. Step 4: Simplify right side
    41.38x = 10,238.91
  5. Step 5: Solve for x
    x = 10,238.91/41.38
  6. Step 6: Final answer
    x = 247.47

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Why These Related Problems?

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