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Finding the Third Proportional to 34,682 and 52,267

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Solution

The third proportional to 34,682 and 52,267 is: 78,768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,682 : 52,267 = 52,267 : x
  2. Step 2: Convert to fraction form
    34,682/52,267 = 52,267/x
  3. Step 3: Cross multiply
    34,682x = 52,267 × 52,267
  4. Step 4: Simplify right side
    34,682x = 2,731,839,289
  5. Step 5: Solve for x
    x = 2,731,839,289/34,682
  6. Step 6: Final answer
    x = 78,768.22

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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.