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Finding the Third Proportional to 4,413.94 and 9,631.69

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Solution

The third proportional to 4,413.94 and 9,631.69 is: 21,017.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,413.94 : 9,631.69 = 9,631.69 : x
  2. Step 2: Convert to fraction form
    4,413.94/9,631.69 = 9,631.69/x
  3. Step 3: Cross multiply
    4,413.94x = 9,631.69 × 9,631.69
  4. Step 4: Simplify right side
    4,413.94x = 92,769,404.10
  5. Step 5: Solve for x
    x = 92,769,404.10/4,413.94
  6. Step 6: Final answer
    x = 21,017.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.