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Finding the Third Proportional to 2,188.69 and 3,481.03

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Solution

The third proportional to 2,188.69 and 3,481.03 is: 5,536.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.69 : 3,481.03 = 3,481.03 : x
  2. Step 2: Convert to fraction form
    2,188.69/3,481.03 = 3,481.03/x
  3. Step 3: Cross multiply
    2,188.69x = 3,481.03 × 3,481.03
  4. Step 4: Simplify right side
    2,188.69x = 12,117,578.56
  5. Step 5: Solve for x
    x = 12,117,578.56/2,188.69
  6. Step 6: Final answer
    x = 5,536.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.