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Finding the Third Proportional to 2,838.80 and 3,843.07

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Solution

The third proportional to 2,838.80 and 3,843.07 is: 5,202.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.80 : 3,843.07 = 3,843.07 : x
  2. Step 2: Convert to fraction form
    2,838.80/3,843.07 = 3,843.07/x
  3. Step 3: Cross multiply
    2,838.80x = 3,843.07 × 3,843.07
  4. Step 4: Simplify right side
    2,838.80x = 14,769,189.43
  5. Step 5: Solve for x
    x = 14,769,189.43/2,838.80
  6. Step 6: Final answer
    x = 5,202.62

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.