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Finding the Third Proportional to 1,413.49 and 3,104.09

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Solution

The third proportional to 1,413.49 and 3,104.09 is: 6,816.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.49 : 3,104.09 = 3,104.09 : x
  2. Step 2: Convert to fraction form
    1,413.49/3,104.09 = 3,104.09/x
  3. Step 3: Cross multiply
    1,413.49x = 3,104.09 × 3,104.09
  4. Step 4: Simplify right side
    1,413.49x = 9,635,349.51
  5. Step 5: Solve for x
    x = 9,635,349.51/1,413.49
  6. Step 6: Final answer
    x = 6,816.70

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.