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Finding the Third Proportional to 32,635 and 50,876

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Solution

The third proportional to 32,635 and 50,876 is: 79,312.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,635 : 50,876 = 50,876 : x
  2. Step 2: Convert to fraction form
    32,635/50,876 = 50,876/x
  3. Step 3: Cross multiply
    32,635x = 50,876 × 50,876
  4. Step 4: Simplify right side
    32,635x = 2,588,367,376
  5. Step 5: Solve for x
    x = 2,588,367,376/32,635
  6. Step 6: Final answer
    x = 79,312.62

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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.