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Finding the Third Proportional to 37,969 and 62,837

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Solution

The third proportional to 37,969 and 62,837 is: 103,992.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,969 : 62,837 = 62,837 : x
  2. Step 2: Convert to fraction form
    37,969/62,837 = 62,837/x
  3. Step 3: Cross multiply
    37,969x = 62,837 × 62,837
  4. Step 4: Simplify right side
    37,969x = 3,948,488,569
  5. Step 5: Solve for x
    x = 3,948,488,569/37,969
  6. Step 6: Final answer
    x = 103,992.43

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.