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Finding the Third Proportional to 34,418 and 71,956

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Solution

The third proportional to 34,418 and 71,956 is: 150,434.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,418 : 71,956 = 71,956 : x
  2. Step 2: Convert to fraction form
    34,418/71,956 = 71,956/x
  3. Step 3: Cross multiply
    34,418x = 71,956 × 71,956
  4. Step 4: Simplify right side
    34,418x = 5,177,665,936
  5. Step 5: Solve for x
    x = 5,177,665,936/34,418
  6. Step 6: Final answer
    x = 150,434.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.