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Finding the Third Proportional to 862.69 and 1,863.38

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Solution

The third proportional to 862.69 and 1,863.38 is: 4,024.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.69 : 1,863.38 = 1,863.38 : x
  2. Step 2: Convert to fraction form
    862.69/1,863.38 = 1,863.38/x
  3. Step 3: Cross multiply
    862.69x = 1,863.38 × 1,863.38
  4. Step 4: Simplify right side
    862.69x = 3,472,166.39
  5. Step 5: Solve for x
    x = 3,472,166.39/862.69
  6. Step 6: Final answer
    x = 4,024.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.