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Finding the Third Proportional to 2,843.63 and 6,203.44

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Solution

The third proportional to 2,843.63 and 6,203.44 is: 13,532.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.63 : 6,203.44 = 6,203.44 : x
  2. Step 2: Convert to fraction form
    2,843.63/6,203.44 = 6,203.44/x
  3. Step 3: Cross multiply
    2,843.63x = 6,203.44 × 6,203.44
  4. Step 4: Simplify right side
    2,843.63x = 38,482,636.82
  5. Step 5: Solve for x
    x = 38,482,636.82/2,843.63
  6. Step 6: Final answer
    x = 13,532.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.