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Finding the Third Proportional to 37,554 and 80,439

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Solution

The third proportional to 37,554 and 80,439 is: 172,296.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,554 : 80,439 = 80,439 : x
  2. Step 2: Convert to fraction form
    37,554/80,439 = 80,439/x
  3. Step 3: Cross multiply
    37,554x = 80,439 × 80,439
  4. Step 4: Simplify right side
    37,554x = 6,470,432,721
  5. Step 5: Solve for x
    x = 6,470,432,721/37,554
  6. Step 6: Final answer
    x = 172,296.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.