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Finding the Third Proportional to 5,690.25 and 11,661.75

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Solution

The third proportional to 5,690.25 and 11,661.75 is: 23,899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.25 : 11,661.75 = 11,661.75 : x
  2. Step 2: Convert to fraction form
    5,690.25/11,661.75 = 11,661.75/x
  3. Step 3: Cross multiply
    5,690.25x = 11,661.75 × 11,661.75
  4. Step 4: Simplify right side
    5,690.25x = 135,996,413.06
  5. Step 5: Solve for x
    x = 135,996,413.06/5,690.25
  6. Step 6: Final answer
    x = 23,899.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.