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Finding the Third Proportional to 20,413.94 and 43,743.88

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Solution

The third proportional to 20,413.94 and 43,743.88 is: 93,736.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413.94 : 43,743.88 = 43,743.88 : x
  2. Step 2: Convert to fraction form
    20,413.94/43,743.88 = 43,743.88/x
  3. Step 3: Cross multiply
    20,413.94x = 43,743.88 × 43,743.88
  4. Step 4: Simplify right side
    20,413.94x = 1,913,526,600.02
  5. Step 5: Solve for x
    x = 1,913,526,600.02/20,413.94
  6. Step 6: Final answer
    x = 93,736.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.