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Finding the Third Proportional to 944.97 and 2,004.31

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Solution

The third proportional to 944.97 and 2,004.31 is: 4,251.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.97 : 2,004.31 = 2,004.31 : x
  2. Step 2: Convert to fraction form
    944.97/2,004.31 = 2,004.31/x
  3. Step 3: Cross multiply
    944.97x = 2,004.31 × 2,004.31
  4. Step 4: Simplify right side
    944.97x = 4,017,268.60
  5. Step 5: Solve for x
    x = 4,017,268.60/944.97
  6. Step 6: Final answer
    x = 4,251.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.