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Finding the Third Proportional to 20,096 and 43,496

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Solution

The third proportional to 20,096 and 43,496 is: 94,143.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,096 : 43,496 = 43,496 : x
  2. Step 2: Convert to fraction form
    20,096/43,496 = 43,496/x
  3. Step 3: Cross multiply
    20,096x = 43,496 × 43,496
  4. Step 4: Simplify right side
    20,096x = 1,891,902,016
  5. Step 5: Solve for x
    x = 1,891,902,016/20,096
  6. Step 6: Final answer
    x = 94,143.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.