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Finding the Third Proportional to 3,288.94 and 6,947.44

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Solution

The third proportional to 3,288.94 and 6,947.44 is: 14,675.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.94 : 6,947.44 = 6,947.44 : x
  2. Step 2: Convert to fraction form
    3,288.94/6,947.44 = 6,947.44/x
  3. Step 3: Cross multiply
    3,288.94x = 6,947.44 × 6,947.44
  4. Step 4: Simplify right side
    3,288.94x = 48,266,887.82
  5. Step 5: Solve for x
    x = 48,266,887.82/3,288.94
  6. Step 6: Final answer
    x = 14,675.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.