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Finding the Third Proportional to 34,296 and 51,874

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Solution

The third proportional to 34,296 and 51,874 is: 78,461.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,296 : 51,874 = 51,874 : x
  2. Step 2: Convert to fraction form
    34,296/51,874 = 51,874/x
  3. Step 3: Cross multiply
    34,296x = 51,874 × 51,874
  4. Step 4: Simplify right side
    34,296x = 2,690,911,876
  5. Step 5: Solve for x
    x = 2,690,911,876/34,296
  6. Step 6: Final answer
    x = 78,461.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.