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Finding the Third Proportional to 9,233.50 and 20,256

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Solution

The third proportional to 9,233.50 and 20,256 is: 44,436.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.50 : 20,256 = 20,256 : x
  2. Step 2: Convert to fraction form
    9,233.50/20,256 = 20,256/x
  3. Step 3: Cross multiply
    9,233.50x = 20,256 × 20,256
  4. Step 4: Simplify right side
    9,233.50x = 410,305,536
  5. Step 5: Solve for x
    x = 410,305,536/9,233.50
  6. Step 6: Final answer
    x = 44,436.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.