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Finding the Third Proportional to 3,284.38 and 6,994.75

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Solution

The third proportional to 3,284.38 and 6,994.75 is: 14,896.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.38 : 6,994.75 = 6,994.75 : x
  2. Step 2: Convert to fraction form
    3,284.38/6,994.75 = 6,994.75/x
  3. Step 3: Cross multiply
    3,284.38x = 6,994.75 × 6,994.75
  4. Step 4: Simplify right side
    3,284.38x = 48,926,527.56
  5. Step 5: Solve for x
    x = 48,926,527.56/3,284.38
  6. Step 6: Final answer
    x = 14,896.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.