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Finding the Third Proportional to 3,296.95 and 6,866.02

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Solution

The third proportional to 3,296.95 and 6,866.02 is: 14,298.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.95 : 6,866.02 = 6,866.02 : x
  2. Step 2: Convert to fraction form
    3,296.95/6,866.02 = 6,866.02/x
  3. Step 3: Cross multiply
    3,296.95x = 6,866.02 × 6,866.02
  4. Step 4: Simplify right side
    3,296.95x = 47,142,170.56
  5. Step 5: Solve for x
    x = 47,142,170.56/3,296.95
  6. Step 6: Final answer
    x = 14,298.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.