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Finding the Third Proportional to 48,863.81 and 73,413.56

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Solution

The third proportional to 48,863.81 and 73,413.56 is: 110,297.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,863.81 : 73,413.56 = 73,413.56 : x
  2. Step 2: Convert to fraction form
    48,863.81/73,413.56 = 73,413.56/x
  3. Step 3: Cross multiply
    48,863.81x = 73,413.56 × 73,413.56
  4. Step 4: Simplify right side
    48,863.81x = 5,389,551,158.94
  5. Step 5: Solve for x
    x = 5,389,551,158.94/48,863.81
  6. Step 6: Final answer
    x = 110,297.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.