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Finding the Third Proportional to 2,190.80 and 5,000.48

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Solution

The third proportional to 2,190.80 and 5,000.48 is: 11,413.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.80 : 5,000.48 = 5,000.48 : x
  2. Step 2: Convert to fraction form
    2,190.80/5,000.48 = 5,000.48/x
  3. Step 3: Cross multiply
    2,190.80x = 5,000.48 × 5,000.48
  4. Step 4: Simplify right side
    2,190.80x = 25,004,843.98
  5. Step 5: Solve for x
    x = 25,004,843.98/2,190.80
  6. Step 6: Final answer
    x = 11,413.58

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.