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Finding the Third Proportional to 2,108.21 and 3,350.27

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Solution

The third proportional to 2,108.21 and 3,350.27 is: 5,324.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.21 : 3,350.27 = 3,350.27 : x
  2. Step 2: Convert to fraction form
    2,108.21/3,350.27 = 3,350.27/x
  3. Step 3: Cross multiply
    2,108.21x = 3,350.27 × 3,350.27
  4. Step 4: Simplify right side
    2,108.21x = 11,224,292.85
  5. Step 5: Solve for x
    x = 11,224,292.85/2,108.21
  6. Step 6: Final answer
    x = 5,324.07

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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.