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Finding the Third Proportional to 33,042 and 50,339

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Solution

The third proportional to 33,042 and 50,339 is: 76,690.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,042 : 50,339 = 50,339 : x
  2. Step 2: Convert to fraction form
    33,042/50,339 = 50,339/x
  3. Step 3: Cross multiply
    33,042x = 50,339 × 50,339
  4. Step 4: Simplify right side
    33,042x = 2,534,014,921
  5. Step 5: Solve for x
    x = 2,534,014,921/33,042
  6. Step 6: Final answer
    x = 76,690.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.