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Finding the Third Proportional to 9,256 and 20,203

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Solution

The third proportional to 9,256 and 20,203 is: 44,096.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256 : 20,203 = 20,203 : x
  2. Step 2: Convert to fraction form
    9,256/20,203 = 20,203/x
  3. Step 3: Cross multiply
    9,256x = 20,203 × 20,203
  4. Step 4: Simplify right side
    9,256x = 408,161,209
  5. Step 5: Solve for x
    x = 408,161,209/9,256
  6. Step 6: Final answer
    x = 44,096.93

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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.