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Finding the Third Proportional to 37,881 and 82,314

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Solution

The third proportional to 37,881 and 82,314 is: 178,865.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,881 : 82,314 = 82,314 : x
  2. Step 2: Convert to fraction form
    37,881/82,314 = 82,314/x
  3. Step 3: Cross multiply
    37,881x = 82,314 × 82,314
  4. Step 4: Simplify right side
    37,881x = 6,775,594,596
  5. Step 5: Solve for x
    x = 6,775,594,596/37,881
  6. Step 6: Final answer
    x = 178,865.25

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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.