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Finding the Third Proportional to 37,752.75 and 80,937.56

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Solution

The third proportional to 37,752.75 and 80,937.56 is: 173,520.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,752.75 : 80,937.56 = 80,937.56 : x
  2. Step 2: Convert to fraction form
    37,752.75/80,937.56 = 80,937.56/x
  3. Step 3: Cross multiply
    37,752.75x = 80,937.56 × 80,937.56
  4. Step 4: Simplify right side
    37,752.75x = 6,550,889,023.44
  5. Step 5: Solve for x
    x = 6,550,889,023.44/37,752.75
  6. Step 6: Final answer
    x = 173,520.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.