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Finding the Third Proportional to 23,636.25 and 50,856.47

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Solution

The third proportional to 23,636.25 and 50,856.47 is: 109,424.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,636.25 : 50,856.47 = 50,856.47 : x
  2. Step 2: Convert to fraction form
    23,636.25/50,856.47 = 50,856.47/x
  3. Step 3: Cross multiply
    23,636.25x = 50,856.47 × 50,856.47
  4. Step 4: Simplify right side
    23,636.25x = 2,586,380,413.72
  5. Step 5: Solve for x
    x = 2,586,380,413.72/23,636.25
  6. Step 6: Final answer
    x = 109,424.31

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.