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Finding the Third Proportional to 37,885 and 79,686

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Solution

The third proportional to 37,885 and 79,686 is: 167,608.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,885 : 79,686 = 79,686 : x
  2. Step 2: Convert to fraction form
    37,885/79,686 = 79,686/x
  3. Step 3: Cross multiply
    37,885x = 79,686 × 79,686
  4. Step 4: Simplify right side
    37,885x = 6,349,858,596
  5. Step 5: Solve for x
    x = 6,349,858,596/37,885
  6. Step 6: Final answer
    x = 167,608.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.