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Finding the Third Proportional to 21,112 and 38,096

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Solution

The third proportional to 21,112 and 38,096 is: 68,743.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,112 : 38,096 = 38,096 : x
  2. Step 2: Convert to fraction form
    21,112/38,096 = 38,096/x
  3. Step 3: Cross multiply
    21,112x = 38,096 × 38,096
  4. Step 4: Simplify right side
    21,112x = 1,451,305,216
  5. Step 5: Solve for x
    x = 1,451,305,216/21,112
  6. Step 6: Final answer
    x = 68,743.14

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.