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Finding the Third Proportional to 37,550.25 and 80,277.75

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Solution

The third proportional to 37,550.25 and 80,277.75 is: 171,623.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,550.25 : 80,277.75 = 80,277.75 : x
  2. Step 2: Convert to fraction form
    37,550.25/80,277.75 = 80,277.75/x
  3. Step 3: Cross multiply
    37,550.25x = 80,277.75 × 80,277.75
  4. Step 4: Simplify right side
    37,550.25x = 6,444,517,145.06
  5. Step 5: Solve for x
    x = 6,444,517,145.06/37,550.25
  6. Step 6: Final answer
    x = 171,623.81

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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.