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Finding the Third Proportional to 37,550 and 80,878

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Solution

The third proportional to 37,550 and 80,878 is: 174,201.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,550 : 80,878 = 80,878 : x
  2. Step 2: Convert to fraction form
    37,550/80,878 = 80,878/x
  3. Step 3: Cross multiply
    37,550x = 80,878 × 80,878
  4. Step 4: Simplify right side
    37,550x = 6,541,250,884
  5. Step 5: Solve for x
    x = 6,541,250,884/37,550
  6. Step 6: Final answer
    x = 174,201.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.