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Finding the Third Proportional to 33,379 and 51,983

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Solution

The third proportional to 33,379 and 51,983 is: 80,956.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,379 : 51,983 = 51,983 : x
  2. Step 2: Convert to fraction form
    33,379/51,983 = 51,983/x
  3. Step 3: Cross multiply
    33,379x = 51,983 × 51,983
  4. Step 4: Simplify right side
    33,379x = 2,702,232,289
  5. Step 5: Solve for x
    x = 2,702,232,289/33,379
  6. Step 6: Final answer
    x = 80,956.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.