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Finding the Third Proportional to 37,451.43 and 80,611.93

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Solution

The third proportional to 37,451.43 and 80,611.93 is: 173,512.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,451.43 : 80,611.93 = 80,611.93 : x
  2. Step 2: Convert to fraction form
    37,451.43/80,611.93 = 80,611.93/x
  3. Step 3: Cross multiply
    37,451.43x = 80,611.93 × 80,611.93
  4. Step 4: Simplify right side
    37,451.43x = 6,498,282,893.05
  5. Step 5: Solve for x
    x = 6,498,282,893.05/37,451.43
  6. Step 6: Final answer
    x = 173,512.30

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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.