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Finding the Third Proportional to 34,286 and 51,795

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Solution

The third proportional to 34,286 and 51,795 is: 78,245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,286 : 51,795 = 51,795 : x
  2. Step 2: Convert to fraction form
    34,286/51,795 = 51,795/x
  3. Step 3: Cross multiply
    34,286x = 51,795 × 51,795
  4. Step 4: Simplify right side
    34,286x = 2,682,722,025
  5. Step 5: Solve for x
    x = 2,682,722,025/34,286
  6. Step 6: Final answer
    x = 78,245.41

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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.