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Finding the Third Proportional to 18,096 and 38,496

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Solution

The third proportional to 18,096 and 38,496 is: 81,893.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,096 : 38,496 = 38,496 : x
  2. Step 2: Convert to fraction form
    18,096/38,496 = 38,496/x
  3. Step 3: Cross multiply
    18,096x = 38,496 × 38,496
  4. Step 4: Simplify right side
    18,096x = 1,481,942,016
  5. Step 5: Solve for x
    x = 1,481,942,016/18,096
  6. Step 6: Final answer
    x = 81,893.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.