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Finding the Third Proportional to 37,811 and 88,317

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Solution

The third proportional to 37,811 and 88,317 is: 206,286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,811 : 88,317 = 88,317 : x
  2. Step 2: Convert to fraction form
    37,811/88,317 = 88,317/x
  3. Step 3: Cross multiply
    37,811x = 88,317 × 88,317
  4. Step 4: Simplify right side
    37,811x = 7,799,892,489
  5. Step 5: Solve for x
    x = 7,799,892,489/37,811
  6. Step 6: Final answer
    x = 206,286.33

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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.