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Finding the Third Proportional to 1,794.66 and 3,806.72

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Solution

The third proportional to 1,794.66 and 3,806.72 is: 8,074.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.66 : 3,806.72 = 3,806.72 : x
  2. Step 2: Convert to fraction form
    1,794.66/3,806.72 = 3,806.72/x
  3. Step 3: Cross multiply
    1,794.66x = 3,806.72 × 3,806.72
  4. Step 4: Simplify right side
    1,794.66x = 14,491,107.64
  5. Step 5: Solve for x
    x = 14,491,107.64/1,794.66
  6. Step 6: Final answer
    x = 8,074.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.