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Finding the Third Proportional to 37,444 and 81,449

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Solution

The third proportional to 37,444 and 81,449 is: 177,169.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,444 : 81,449 = 81,449 : x
  2. Step 2: Convert to fraction form
    37,444/81,449 = 81,449/x
  3. Step 3: Cross multiply
    37,444x = 81,449 × 81,449
  4. Step 4: Simplify right side
    37,444x = 6,633,939,601
  5. Step 5: Solve for x
    x = 6,633,939,601/37,444
  6. Step 6: Final answer
    x = 177,169.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.