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Finding the Third Proportional to 37,551 and 81,635

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Solution

The third proportional to 37,551 and 81,635 is: 177,472.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,551 : 81,635 = 81,635 : x
  2. Step 2: Convert to fraction form
    37,551/81,635 = 81,635/x
  3. Step 3: Cross multiply
    37,551x = 81,635 × 81,635
  4. Step 4: Simplify right side
    37,551x = 6,664,273,225
  5. Step 5: Solve for x
    x = 6,664,273,225/37,551
  6. Step 6: Final answer
    x = 177,472.59

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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.