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Finding the Third Proportional to 2,161.13 and 5,550.75

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Solution

The third proportional to 2,161.13 and 5,550.75 is: 14,256.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.13 : 5,550.75 = 5,550.75 : x
  2. Step 2: Convert to fraction form
    2,161.13/5,550.75 = 5,550.75/x
  3. Step 3: Cross multiply
    2,161.13x = 5,550.75 × 5,550.75
  4. Step 4: Simplify right side
    2,161.13x = 30,810,825.56
  5. Step 5: Solve for x
    x = 30,810,825.56/2,161.13
  6. Step 6: Final answer
    x = 14,256.85

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.