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Finding the Third Proportional to 2,100.62 and 4,201.24

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Solution

The third proportional to 2,100.62 and 4,201.24 is: 8,402.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.62 : 4,201.24 = 4,201.24 : x
  2. Step 2: Convert to fraction form
    2,100.62/4,201.24 = 4,201.24/x
  3. Step 3: Cross multiply
    2,100.62x = 4,201.24 × 4,201.24
  4. Step 4: Simplify right side
    2,100.62x = 17,650,435.92
  5. Step 5: Solve for x
    x = 17,650,435.92/2,100.62
  6. Step 6: Final answer
    x = 8,402.48

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.