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Finding the Third Proportional to 37,696 and 51,744

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Solution

The third proportional to 37,696 and 51,744 is: 71,027.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,696 : 51,744 = 51,744 : x
  2. Step 2: Convert to fraction form
    37,696/51,744 = 51,744/x
  3. Step 3: Cross multiply
    37,696x = 51,744 × 51,744
  4. Step 4: Simplify right side
    37,696x = 2,677,441,536
  5. Step 5: Solve for x
    x = 2,677,441,536/37,696
  6. Step 6: Final answer
    x = 71,027.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.