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Finding the Third Proportional to 37,634 and 77,812

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Solution

The third proportional to 37,634 and 77,812 is: 160,883.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,634 : 77,812 = 77,812 : x
  2. Step 2: Convert to fraction form
    37,634/77,812 = 77,812/x
  3. Step 3: Cross multiply
    37,634x = 77,812 × 77,812
  4. Step 4: Simplify right side
    37,634x = 6,054,707,344
  5. Step 5: Solve for x
    x = 6,054,707,344/37,634
  6. Step 6: Final answer
    x = 160,883.97

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.