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Finding the Third Proportional to 37,878 and 80,616

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Solution

The third proportional to 37,878 and 80,616 is: 171,575.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,878 : 80,616 = 80,616 : x
  2. Step 2: Convert to fraction form
    37,878/80,616 = 80,616/x
  3. Step 3: Cross multiply
    37,878x = 80,616 × 80,616
  4. Step 4: Simplify right side
    37,878x = 6,498,939,456
  5. Step 5: Solve for x
    x = 6,498,939,456/37,878
  6. Step 6: Final answer
    x = 171,575.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.