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Finding the Third Proportional to 2,001.38 and 4,058.44

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Solution

The third proportional to 2,001.38 and 4,058.44 is: 8,229.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.38 : 4,058.44 = 4,058.44 : x
  2. Step 2: Convert to fraction form
    2,001.38/4,058.44 = 4,058.44/x
  3. Step 3: Cross multiply
    2,001.38x = 4,058.44 × 4,058.44
  4. Step 4: Simplify right side
    2,001.38x = 16,470,914.94
  5. Step 5: Solve for x
    x = 16,470,914.94/2,001.38
  6. Step 6: Final answer
    x = 8,229.80

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.