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Finding the Third Proportional to 6,351.75 and 9,694.69

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Solution

The third proportional to 6,351.75 and 9,694.69 is: 14,797.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351.75 : 9,694.69 = 9,694.69 : x
  2. Step 2: Convert to fraction form
    6,351.75/9,694.69 = 9,694.69/x
  3. Step 3: Cross multiply
    6,351.75x = 9,694.69 × 9,694.69
  4. Step 4: Simplify right side
    6,351.75x = 93,986,965.72
  5. Step 5: Solve for x
    x = 93,986,965.72/6,351.75
  6. Step 6: Final answer
    x = 14,797.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.