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Finding the Third Proportional to 38,249 and 82,851

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Solution

The third proportional to 38,249 and 82,851 is: 179,463.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,249 : 82,851 = 82,851 : x
  2. Step 2: Convert to fraction form
    38,249/82,851 = 82,851/x
  3. Step 3: Cross multiply
    38,249x = 82,851 × 82,851
  4. Step 4: Simplify right side
    38,249x = 6,864,288,201
  5. Step 5: Solve for x
    x = 6,864,288,201/38,249
  6. Step 6: Final answer
    x = 179,463.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.