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Finding the Third Proportional to 41.19 and 62.31

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Solution

The third proportional to 41.19 and 62.31 is: 94.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.19 : 62.31 = 62.31 : x
  2. Step 2: Convert to fraction form
    41.19/62.31 = 62.31/x
  3. Step 3: Cross multiply
    41.19x = 62.31 × 62.31
  4. Step 4: Simplify right side
    41.19x = 3,882.85
  5. Step 5: Solve for x
    x = 3,882.85/41.19
  6. Step 6: Final answer
    x = 94.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.