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Finding the Third Proportional to 11,571 and 18,448.50

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Solution

The third proportional to 11,571 and 18,448.50 is: 29,413.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571 : 18,448.50 = 18,448.50 : x
  2. Step 2: Convert to fraction form
    11,571/18,448.50 = 18,448.50/x
  3. Step 3: Cross multiply
    11,571x = 18,448.50 × 18,448.50
  4. Step 4: Simplify right side
    11,571x = 340,347,152.25
  5. Step 5: Solve for x
    x = 340,347,152.25/11,571
  6. Step 6: Final answer
    x = 29,413.81

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.