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Finding the Third Proportional to 862.68 and 1,863.32

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Solution

The third proportional to 862.68 and 1,863.32 is: 4,024.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.68 : 1,863.32 = 1,863.32 : x
  2. Step 2: Convert to fraction form
    862.68/1,863.32 = 1,863.32/x
  3. Step 3: Cross multiply
    862.68x = 1,863.32 × 1,863.32
  4. Step 4: Simplify right side
    862.68x = 3,471,948.03
  5. Step 5: Solve for x
    x = 3,471,948.03/862.68
  6. Step 6: Final answer
    x = 4,024.60

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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.