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Finding the Third Proportional to 14,103.50 and 33,413.75

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Solution

The third proportional to 14,103.50 and 33,413.75 is: 79,163.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,103.50 : 33,413.75 = 33,413.75 : x
  2. Step 2: Convert to fraction form
    14,103.50/33,413.75 = 33,413.75/x
  3. Step 3: Cross multiply
    14,103.50x = 33,413.75 × 33,413.75
  4. Step 4: Simplify right side
    14,103.50x = 1,116,478,689.06
  5. Step 5: Solve for x
    x = 1,116,478,689.06/14,103.50
  6. Step 6: Final answer
    x = 79,163.24

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.