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Finding the Third Proportional to 37,845.75 and 80,303.25

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Solution

The third proportional to 37,845.75 and 80,303.25 is: 170,391.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,845.75 : 80,303.25 = 80,303.25 : x
  2. Step 2: Convert to fraction form
    37,845.75/80,303.25 = 80,303.25/x
  3. Step 3: Cross multiply
    37,845.75x = 80,303.25 × 80,303.25
  4. Step 4: Simplify right side
    37,845.75x = 6,448,611,960.56
  5. Step 5: Solve for x
    x = 6,448,611,960.56/37,845.75
  6. Step 6: Final answer
    x = 170,391.97

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.