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Finding the Third Proportional to 2,140.88 and 2,843.44

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Solution

The third proportional to 2,140.88 and 2,843.44 is: 3,776.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.88 : 2,843.44 = 2,843.44 : x
  2. Step 2: Convert to fraction form
    2,140.88/2,843.44 = 2,843.44/x
  3. Step 3: Cross multiply
    2,140.88x = 2,843.44 × 2,843.44
  4. Step 4: Simplify right side
    2,140.88x = 8,085,136.82
  5. Step 5: Solve for x
    x = 8,085,136.82/2,140.88
  6. Step 6: Final answer
    x = 3,776.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.