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Finding the Third Proportional to 862.84 and 1,794.02

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Solution

The third proportional to 862.84 and 1,794.02 is: 3,730.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.84 : 1,794.02 = 1,794.02 : x
  2. Step 2: Convert to fraction form
    862.84/1,794.02 = 1,794.02/x
  3. Step 3: Cross multiply
    862.84x = 1,794.02 × 1,794.02
  4. Step 4: Simplify right side
    862.84x = 3,218,520.09
  5. Step 5: Solve for x
    x = 3,218,520.09/862.84
  6. Step 6: Final answer
    x = 3,730.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.