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Finding the Third Proportional to 37,581.89 and 55,142.44

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Solution

The third proportional to 37,581.89 and 55,142.44 is: 80,908.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,581.89 : 55,142.44 = 55,142.44 : x
  2. Step 2: Convert to fraction form
    37,581.89/55,142.44 = 55,142.44/x
  3. Step 3: Cross multiply
    37,581.89x = 55,142.44 × 55,142.44
  4. Step 4: Simplify right side
    37,581.89x = 3,040,688,413.44
  5. Step 5: Solve for x
    x = 3,040,688,413.44/37,581.89
  6. Step 6: Final answer
    x = 80,908.34

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.