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Finding the Third Proportional to 38,198 and 57,369

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Solution

The third proportional to 38,198 and 57,369 is: 86,161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,198 : 57,369 = 57,369 : x
  2. Step 2: Convert to fraction form
    38,198/57,369 = 57,369/x
  3. Step 3: Cross multiply
    38,198x = 57,369 × 57,369
  4. Step 4: Simplify right side
    38,198x = 3,291,202,161
  5. Step 5: Solve for x
    x = 3,291,202,161/38,198
  6. Step 6: Final answer
    x = 86,161.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.