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Finding the Third Proportional to 37,696 and 79,267

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Solution

The third proportional to 37,696 and 79,267 is: 166,682.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,696 : 79,267 = 79,267 : x
  2. Step 2: Convert to fraction form
    37,696/79,267 = 79,267/x
  3. Step 3: Cross multiply
    37,696x = 79,267 × 79,267
  4. Step 4: Simplify right side
    37,696x = 6,283,257,289
  5. Step 5: Solve for x
    x = 6,283,257,289/37,696
  6. Step 6: Final answer
    x = 166,682.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.