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Finding the Third Proportional to 16,749 and 34,876

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Solution

The third proportional to 16,749 and 34,876 is: 72,621.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,749 : 34,876 = 34,876 : x
  2. Step 2: Convert to fraction form
    16,749/34,876 = 34,876/x
  3. Step 3: Cross multiply
    16,749x = 34,876 × 34,876
  4. Step 4: Simplify right side
    16,749x = 1,216,335,376
  5. Step 5: Solve for x
    x = 1,216,335,376/16,749
  6. Step 6: Final answer
    x = 72,621.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.