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Finding the Third Proportional to 37,339 and 80,696

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Solution

The third proportional to 37,339 and 80,696 is: 174,397.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,339 : 80,696 = 80,696 : x
  2. Step 2: Convert to fraction form
    37,339/80,696 = 80,696/x
  3. Step 3: Cross multiply
    37,339x = 80,696 × 80,696
  4. Step 4: Simplify right side
    37,339x = 6,511,844,416
  5. Step 5: Solve for x
    x = 6,511,844,416/37,339
  6. Step 6: Final answer
    x = 174,397.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.