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Finding the Third Proportional to 850.94 and 1,806.88

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Solution

The third proportional to 850.94 and 1,806.88 is: 3,836.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.94 : 1,806.88 = 1,806.88 : x
  2. Step 2: Convert to fraction form
    850.94/1,806.88 = 1,806.88/x
  3. Step 3: Cross multiply
    850.94x = 1,806.88 × 1,806.88
  4. Step 4: Simplify right side
    850.94x = 3,264,797.27
  5. Step 5: Solve for x
    x = 3,264,797.27/850.94
  6. Step 6: Final answer
    x = 3,836.71

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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.