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Finding the Third Proportional to 3,003.19 and 6,200.44

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Solution

The third proportional to 3,003.19 and 6,200.44 is: 12,801.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.19 : 6,200.44 = 6,200.44 : x
  2. Step 2: Convert to fraction form
    3,003.19/6,200.44 = 6,200.44/x
  3. Step 3: Cross multiply
    3,003.19x = 6,200.44 × 6,200.44
  4. Step 4: Simplify right side
    3,003.19x = 38,445,425.19
  5. Step 5: Solve for x
    x = 38,445,425.19/3,003.19
  6. Step 6: Final answer
    x = 12,801.54

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.