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Finding the Third Proportional to 20,272 and 47,096

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Solution

The third proportional to 20,272 and 47,096 is: 109,413.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,272 : 47,096 = 47,096 : x
  2. Step 2: Convert to fraction form
    20,272/47,096 = 47,096/x
  3. Step 3: Cross multiply
    20,272x = 47,096 × 47,096
  4. Step 4: Simplify right side
    20,272x = 2,218,033,216
  5. Step 5: Solve for x
    x = 2,218,033,216/20,272
  6. Step 6: Final answer
    x = 109,413.64

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.