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Finding the Third Proportional to 1,786.08 and 3,694.22

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Solution

The third proportional to 1,786.08 and 3,694.22 is: 7,640.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.08 : 3,694.22 = 3,694.22 : x
  2. Step 2: Convert to fraction form
    1,786.08/3,694.22 = 3,694.22/x
  3. Step 3: Cross multiply
    1,786.08x = 3,694.22 × 3,694.22
  4. Step 4: Simplify right side
    1,786.08x = 13,647,252.17
  5. Step 5: Solve for x
    x = 13,647,252.17/1,786.08
  6. Step 6: Final answer
    x = 7,640.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.