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Finding the Third Proportional to 3,366 and 6,899.75

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Solution

The third proportional to 3,366 and 6,899.75 is: 14,143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,366 : 6,899.75 = 6,899.75 : x
  2. Step 2: Convert to fraction form
    3,366/6,899.75 = 6,899.75/x
  3. Step 3: Cross multiply
    3,366x = 6,899.75 × 6,899.75
  4. Step 4: Simplify right side
    3,366x = 47,606,550.06
  5. Step 5: Solve for x
    x = 47,606,550.06/3,366
  6. Step 6: Final answer
    x = 14,143.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.