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Finding the Third Proportional to 33,381 and 50,913

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Solution

The third proportional to 33,381 and 50,913 is: 77,652.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,381 : 50,913 = 50,913 : x
  2. Step 2: Convert to fraction form
    33,381/50,913 = 50,913/x
  3. Step 3: Cross multiply
    33,381x = 50,913 × 50,913
  4. Step 4: Simplify right side
    33,381x = 2,592,133,569
  5. Step 5: Solve for x
    x = 2,592,133,569/33,381
  6. Step 6: Final answer
    x = 77,652.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.