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Finding the Third Proportional to 3,842.44 and 4,892.91

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Solution

The third proportional to 3,842.44 and 4,892.91 is: 6,230.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.44 : 4,892.91 = 4,892.91 : x
  2. Step 2: Convert to fraction form
    3,842.44/4,892.91 = 4,892.91/x
  3. Step 3: Cross multiply
    3,842.44x = 4,892.91 × 4,892.91
  4. Step 4: Simplify right side
    3,842.44x = 23,940,531.57
  5. Step 5: Solve for x
    x = 23,940,531.57/3,842.44
  6. Step 6: Final answer
    x = 6,230.56

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.