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Finding the Third Proportional to 32,413.50 and 43,080.75

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Solution

The third proportional to 32,413.50 and 43,080.75 is: 57,258.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,413.50 : 43,080.75 = 43,080.75 : x
  2. Step 2: Convert to fraction form
    32,413.50/43,080.75 = 43,080.75/x
  3. Step 3: Cross multiply
    32,413.50x = 43,080.75 × 43,080.75
  4. Step 4: Simplify right side
    32,413.50x = 1,855,951,020.56
  5. Step 5: Solve for x
    x = 1,855,951,020.56/32,413.50
  6. Step 6: Final answer
    x = 57,258.58

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.