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Finding the Third Proportional to 41,058 and 57,204

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Solution

The third proportional to 41,058 and 57,204 is: 79,699.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,058 : 57,204 = 57,204 : x
  2. Step 2: Convert to fraction form
    41,058/57,204 = 57,204/x
  3. Step 3: Cross multiply
    41,058x = 57,204 × 57,204
  4. Step 4: Simplify right side
    41,058x = 3,272,297,616
  5. Step 5: Solve for x
    x = 3,272,297,616/41,058
  6. Step 6: Final answer
    x = 79,699.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.