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Finding the Third Proportional to 19,404 and 41,231.25

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Solution

The third proportional to 19,404 and 41,231.25 is: 87,611.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,404 : 41,231.25 = 41,231.25 : x
  2. Step 2: Convert to fraction form
    19,404/41,231.25 = 41,231.25/x
  3. Step 3: Cross multiply
    19,404x = 41,231.25 × 41,231.25
  4. Step 4: Simplify right side
    19,404x = 1,700,015,976.56
  5. Step 5: Solve for x
    x = 1,700,015,976.56/19,404
  6. Step 6: Final answer
    x = 87,611.63

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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.