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Finding the Third Proportional to 37,873 and 79,662

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Solution

The third proportional to 37,873 and 79,662 is: 167,560.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,873 : 79,662 = 79,662 : x
  2. Step 2: Convert to fraction form
    37,873/79,662 = 79,662/x
  3. Step 3: Cross multiply
    37,873x = 79,662 × 79,662
  4. Step 4: Simplify right side
    37,873x = 6,346,034,244
  5. Step 5: Solve for x
    x = 6,346,034,244/37,873
  6. Step 6: Final answer
    x = 167,560.91

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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.