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Finding the Third Proportional to 2,479.60 and 5,843.39

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Solution

The third proportional to 2,479.60 and 5,843.39 is: 13,770.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.60 : 5,843.39 = 5,843.39 : x
  2. Step 2: Convert to fraction form
    2,479.60/5,843.39 = 5,843.39/x
  3. Step 3: Cross multiply
    2,479.60x = 5,843.39 × 5,843.39
  4. Step 4: Simplify right side
    2,479.60x = 34,145,214.00
  5. Step 5: Solve for x
    x = 34,145,214.00/2,479.60
  6. Step 6: Final answer
    x = 13,770.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.