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Finding the Third Proportional to 37,251 and 79,832

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Solution

The third proportional to 37,251 and 79,832 is: 171,086.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,251 : 79,832 = 79,832 : x
  2. Step 2: Convert to fraction form
    37,251/79,832 = 79,832/x
  3. Step 3: Cross multiply
    37,251x = 79,832 × 79,832
  4. Step 4: Simplify right side
    37,251x = 6,373,148,224
  5. Step 5: Solve for x
    x = 6,373,148,224/37,251
  6. Step 6: Final answer
    x = 171,086.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.