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Finding the Third Proportional to 34,418 and 50,381

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Solution

The third proportional to 34,418 and 50,381 is: 73,747.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,418 : 50,381 = 50,381 : x
  2. Step 2: Convert to fraction form
    34,418/50,381 = 50,381/x
  3. Step 3: Cross multiply
    34,418x = 50,381 × 50,381
  4. Step 4: Simplify right side
    34,418x = 2,538,245,161
  5. Step 5: Solve for x
    x = 2,538,245,161/34,418
  6. Step 6: Final answer
    x = 73,747.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.