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Finding the Third Proportional to 39,413.25 and 86,491.38

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Solution

The third proportional to 39,413.25 and 86,491.38 is: 189,803.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,413.25 : 86,491.38 = 86,491.38 : x
  2. Step 2: Convert to fraction form
    39,413.25/86,491.38 = 86,491.38/x
  3. Step 3: Cross multiply
    39,413.25x = 86,491.38 × 86,491.38
  4. Step 4: Simplify right side
    39,413.25x = 7,480,757,949.39
  5. Step 5: Solve for x
    x = 7,480,757,949.39/39,413.25
  6. Step 6: Final answer
    x = 189,803.12

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.