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Finding the Third Proportional to 20,538 and 48,456

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Solution

The third proportional to 20,538 and 48,456 is: 114,323.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,538 : 48,456 = 48,456 : x
  2. Step 2: Convert to fraction form
    20,538/48,456 = 48,456/x
  3. Step 3: Cross multiply
    20,538x = 48,456 × 48,456
  4. Step 4: Simplify right side
    20,538x = 2,347,983,936
  5. Step 5: Solve for x
    x = 2,347,983,936/20,538
  6. Step 6: Final answer
    x = 114,323.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.