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Finding the Third Proportional to 5,845 and 13,975

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Solution

The third proportional to 5,845 and 13,975 is: 33,413.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845 : 13,975 = 13,975 : x
  2. Step 2: Convert to fraction form
    5,845/13,975 = 13,975/x
  3. Step 3: Cross multiply
    5,845x = 13,975 × 13,975
  4. Step 4: Simplify right side
    5,845x = 195,300,625
  5. Step 5: Solve for x
    x = 195,300,625/5,845
  6. Step 6: Final answer
    x = 33,413.28

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.