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Finding the Third Proportional to 9,072.56 and 13,608.84

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Solution

The third proportional to 9,072.56 and 13,608.84 is: 20,413.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072.56 : 13,608.84 = 13,608.84 : x
  2. Step 2: Convert to fraction form
    9,072.56/13,608.84 = 13,608.84/x
  3. Step 3: Cross multiply
    9,072.56x = 13,608.84 × 13,608.84
  4. Step 4: Simplify right side
    9,072.56x = 185,200,628.21
  5. Step 5: Solve for x
    x = 185,200,628.21/9,072.56
  6. Step 6: Final answer
    x = 20,413.27

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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.