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Finding the Third Proportional to 19,757 and 41,839

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Solution

The third proportional to 19,757 and 41,839 is: 88,601.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,757 : 41,839 = 41,839 : x
  2. Step 2: Convert to fraction form
    19,757/41,839 = 41,839/x
  3. Step 3: Cross multiply
    19,757x = 41,839 × 41,839
  4. Step 4: Simplify right side
    19,757x = 1,750,501,921
  5. Step 5: Solve for x
    x = 1,750,501,921/19,757
  6. Step 6: Final answer
    x = 88,601.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.