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Finding the Third Proportional to 34,098 and 51,884

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Solution

The third proportional to 34,098 and 51,884 is: 78,947.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,098 : 51,884 = 51,884 : x
  2. Step 2: Convert to fraction form
    34,098/51,884 = 51,884/x
  3. Step 3: Cross multiply
    34,098x = 51,884 × 51,884
  4. Step 4: Simplify right side
    34,098x = 2,691,949,456
  5. Step 5: Solve for x
    x = 2,691,949,456/34,098
  6. Step 6: Final answer
    x = 78,947.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.