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Finding the Third Proportional to 20,340 and 48,983

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Solution

The third proportional to 20,340 and 48,983 is: 117,961.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,340 : 48,983 = 48,983 : x
  2. Step 2: Convert to fraction form
    20,340/48,983 = 48,983/x
  3. Step 3: Cross multiply
    20,340x = 48,983 × 48,983
  4. Step 4: Simplify right side
    20,340x = 2,399,334,289
  5. Step 5: Solve for x
    x = 2,399,334,289/20,340
  6. Step 6: Final answer
    x = 117,961.37

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.