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Finding the Third Proportional to 2,793.94 and 6,143.06

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Solution

The third proportional to 2,793.94 and 6,143.06 is: 13,506.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.94 : 6,143.06 = 6,143.06 : x
  2. Step 2: Convert to fraction form
    2,793.94/6,143.06 = 6,143.06/x
  3. Step 3: Cross multiply
    2,793.94x = 6,143.06 × 6,143.06
  4. Step 4: Simplify right side
    2,793.94x = 37,737,216.88
  5. Step 5: Solve for x
    x = 37,737,216.88/2,793.94
  6. Step 6: Final answer
    x = 13,506.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.