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Finding the Third Proportional to 36,563.91 and 83,413.55

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Solution

The third proportional to 36,563.91 and 83,413.55 is: 190,292.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,563.91 : 83,413.55 = 83,413.55 : x
  2. Step 2: Convert to fraction form
    36,563.91/83,413.55 = 83,413.55/x
  3. Step 3: Cross multiply
    36,563.91x = 83,413.55 × 83,413.55
  4. Step 4: Simplify right side
    36,563.91x = 6,957,819,802.27
  5. Step 5: Solve for x
    x = 6,957,819,802.27/36,563.91
  6. Step 6: Final answer
    x = 190,292.03

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These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.