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Finding the Third Proportional to 1,023.94 and 2,200.97

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Solution

The third proportional to 1,023.94 and 2,200.97 is: 4,731.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.94 : 2,200.97 = 2,200.97 : x
  2. Step 2: Convert to fraction form
    1,023.94/2,200.97 = 2,200.97/x
  3. Step 3: Cross multiply
    1,023.94x = 2,200.97 × 2,200.97
  4. Step 4: Simplify right side
    1,023.94x = 4,844,263.44
  5. Step 5: Solve for x
    x = 4,844,263.44/1,023.94
  6. Step 6: Final answer
    x = 4,731.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.