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Finding the Third Proportional to 9,323.44 and 20,285.44

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Solution

The third proportional to 9,323.44 and 20,285.44 is: 44,135.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.44 : 20,285.44 = 20,285.44 : x
  2. Step 2: Convert to fraction form
    9,323.44/20,285.44 = 20,285.44/x
  3. Step 3: Cross multiply
    9,323.44x = 20,285.44 × 20,285.44
  4. Step 4: Simplify right side
    9,323.44x = 411,498,974.57
  5. Step 5: Solve for x
    x = 411,498,974.57/9,323.44
  6. Step 6: Final answer
    x = 44,135.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.