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Finding the Third Proportional to 37,641 and 81,843

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Solution

The third proportional to 37,641 and 81,843 is: 177,951.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,641 : 81,843 = 81,843 : x
  2. Step 2: Convert to fraction form
    37,641/81,843 = 81,843/x
  3. Step 3: Cross multiply
    37,641x = 81,843 × 81,843
  4. Step 4: Simplify right side
    37,641x = 6,698,276,649
  5. Step 5: Solve for x
    x = 6,698,276,649/37,641
  6. Step 6: Final answer
    x = 177,951.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.