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Finding the Third Proportional to 1,801.41 and 3,204.04

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Solution

The third proportional to 1,801.41 and 3,204.04 is: 5,698.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.41 : 3,204.04 = 3,204.04 : x
  2. Step 2: Convert to fraction form
    1,801.41/3,204.04 = 3,204.04/x
  3. Step 3: Cross multiply
    1,801.41x = 3,204.04 × 3,204.04
  4. Step 4: Simplify right side
    1,801.41x = 10,265,841.28
  5. Step 5: Solve for x
    x = 10,265,841.28/1,801.41
  6. Step 6: Final answer
    x = 5,698.79

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.