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Finding the Third Proportional to 38,096 and 80,800

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Solution

The third proportional to 38,096 and 80,800 is: 171,373.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,096 : 80,800 = 80,800 : x
  2. Step 2: Convert to fraction form
    38,096/80,800 = 80,800/x
  3. Step 3: Cross multiply
    38,096x = 80,800 × 80,800
  4. Step 4: Simplify right side
    38,096x = 6,528,640,000
  5. Step 5: Solve for x
    x = 6,528,640,000/38,096
  6. Step 6: Final answer
    x = 171,373.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.