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Finding the Third Proportional to 38,601 and 44,379

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Solution

The third proportional to 38,601 and 44,379 is: 51,021.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,601 : 44,379 = 44,379 : x
  2. Step 2: Convert to fraction form
    38,601/44,379 = 44,379/x
  3. Step 3: Cross multiply
    38,601x = 44,379 × 44,379
  4. Step 4: Simplify right side
    38,601x = 1,969,495,641
  5. Step 5: Solve for x
    x = 1,969,495,641/38,601
  6. Step 6: Final answer
    x = 51,021.88

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.