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Finding the Third Proportional to 9,512.44 and 20,923.31

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Solution

The third proportional to 9,512.44 and 20,923.31 is: 46,022.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.44 : 20,923.31 = 20,923.31 : x
  2. Step 2: Convert to fraction form
    9,512.44/20,923.31 = 20,923.31/x
  3. Step 3: Cross multiply
    9,512.44x = 20,923.31 × 20,923.31
  4. Step 4: Simplify right side
    9,512.44x = 437,785,005.97
  5. Step 5: Solve for x
    x = 437,785,005.97/9,512.44
  6. Step 6: Final answer
    x = 46,022.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.