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Finding the Third Proportional to 15,876 and 36,766

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Solution

The third proportional to 15,876 and 36,766 is: 85,143.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,876 : 36,766 = 36,766 : x
  2. Step 2: Convert to fraction form
    15,876/36,766 = 36,766/x
  3. Step 3: Cross multiply
    15,876x = 36,766 × 36,766
  4. Step 4: Simplify right side
    15,876x = 1,351,738,756
  5. Step 5: Solve for x
    x = 1,351,738,756/15,876
  6. Step 6: Final answer
    x = 85,143.53

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.