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Finding the Third Proportional to 48,891 and 73,804.50

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Solution

The third proportional to 48,891 and 73,804.50 is: 111,413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,891 : 73,804.50 = 73,804.50 : x
  2. Step 2: Convert to fraction form
    48,891/73,804.50 = 73,804.50/x
  3. Step 3: Cross multiply
    48,891x = 73,804.50 × 73,804.50
  4. Step 4: Simplify right side
    48,891x = 5,447,104,220.25
  5. Step 5: Solve for x
    x = 5,447,104,220.25/48,891
  6. Step 6: Final answer
    x = 111,413.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.