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Finding the Third Proportional to 20,760 and 48,372

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Solution

The third proportional to 20,760 and 48,372 is: 112,709.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,760 : 48,372 = 48,372 : x
  2. Step 2: Convert to fraction form
    20,760/48,372 = 48,372/x
  3. Step 3: Cross multiply
    20,760x = 48,372 × 48,372
  4. Step 4: Simplify right side
    20,760x = 2,339,850,384
  5. Step 5: Solve for x
    x = 2,339,850,384/20,760
  6. Step 6: Final answer
    x = 112,709.56

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.