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Finding the Third Proportional to 18,064 and 38,096

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Solution

The third proportional to 18,064 and 38,096 is: 80,342.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,064 : 38,096 = 38,096 : x
  2. Step 2: Convert to fraction form
    18,064/38,096 = 38,096/x
  3. Step 3: Cross multiply
    18,064x = 38,096 × 38,096
  4. Step 4: Simplify right side
    18,064x = 1,451,305,216
  5. Step 5: Solve for x
    x = 1,451,305,216/18,064
  6. Step 6: Final answer
    x = 80,342.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.