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Finding the Third Proportional to 37,794 and 88,275

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Solution

The third proportional to 37,794 and 88,275 is: 206,182.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,794 : 88,275 = 88,275 : x
  2. Step 2: Convert to fraction form
    37,794/88,275 = 88,275/x
  3. Step 3: Cross multiply
    37,794x = 88,275 × 88,275
  4. Step 4: Simplify right side
    37,794x = 7,792,475,625
  5. Step 5: Solve for x
    x = 7,792,475,625/37,794
  6. Step 6: Final answer
    x = 206,182.88

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.