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Finding the Third Proportional to 863.63 and 1,944.94

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Solution

The third proportional to 863.63 and 1,944.94 is: 4,380.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.63 : 1,944.94 = 1,944.94 : x
  2. Step 2: Convert to fraction form
    863.63/1,944.94 = 1,944.94/x
  3. Step 3: Cross multiply
    863.63x = 1,944.94 × 1,944.94
  4. Step 4: Simplify right side
    863.63x = 3,782,781.88
  5. Step 5: Solve for x
    x = 3,782,781.88/863.63
  6. Step 6: Final answer
    x = 4,380.12

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.