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Finding the Third Proportional to 3,027.94 and 6,422.91

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Solution

The third proportional to 3,027.94 and 6,422.91 is: 13,624.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.94 : 6,422.91 = 6,422.91 : x
  2. Step 2: Convert to fraction form
    3,027.94/6,422.91 = 6,422.91/x
  3. Step 3: Cross multiply
    3,027.94x = 6,422.91 × 6,422.91
  4. Step 4: Simplify right side
    3,027.94x = 41,253,724.70
  5. Step 5: Solve for x
    x = 41,253,724.70/3,027.94
  6. Step 6: Final answer
    x = 13,624.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.