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Finding the Third Proportional to 40,467.25 and 94,517.75

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Solution

The third proportional to 40,467.25 and 94,517.75 is: 220,761.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,467.25 : 94,517.75 = 94,517.75 : x
  2. Step 2: Convert to fraction form
    40,467.25/94,517.75 = 94,517.75/x
  3. Step 3: Cross multiply
    40,467.25x = 94,517.75 × 94,517.75
  4. Step 4: Simplify right side
    40,467.25x = 8,933,605,065.06
  5. Step 5: Solve for x
    x = 8,933,605,065.06/40,467.25
  6. Step 6: Final answer
    x = 220,761.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.