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Finding the Third Proportional to 37,349 and 80,977

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Solution

The third proportional to 37,349 and 80,977 is: 175,567.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,349 : 80,977 = 80,977 : x
  2. Step 2: Convert to fraction form
    37,349/80,977 = 80,977/x
  3. Step 3: Cross multiply
    37,349x = 80,977 × 80,977
  4. Step 4: Simplify right side
    37,349x = 6,557,274,529
  5. Step 5: Solve for x
    x = 6,557,274,529/37,349
  6. Step 6: Final answer
    x = 175,567.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.