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Finding the Third Proportional to 32,834 and 50,939

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Solution

The third proportional to 32,834 and 50,939 is: 79,027.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,834 : 50,939 = 50,939 : x
  2. Step 2: Convert to fraction form
    32,834/50,939 = 50,939/x
  3. Step 3: Cross multiply
    32,834x = 50,939 × 50,939
  4. Step 4: Simplify right side
    32,834x = 2,594,781,721
  5. Step 5: Solve for x
    x = 2,594,781,721/32,834
  6. Step 6: Final answer
    x = 79,027.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.