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Finding the Third Proportional to 36,380 and 79,238

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Solution

The third proportional to 36,380 and 79,238 is: 172,585.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,380 : 79,238 = 79,238 : x
  2. Step 2: Convert to fraction form
    36,380/79,238 = 79,238/x
  3. Step 3: Cross multiply
    36,380x = 79,238 × 79,238
  4. Step 4: Simplify right side
    36,380x = 6,278,660,644
  5. Step 5: Solve for x
    x = 6,278,660,644/36,380
  6. Step 6: Final answer
    x = 172,585.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.