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Finding the Third Proportional to 36,853 and 79,493

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Solution

The third proportional to 36,853 and 79,493 is: 171,468.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,853 : 79,493 = 79,493 : x
  2. Step 2: Convert to fraction form
    36,853/79,493 = 79,493/x
  3. Step 3: Cross multiply
    36,853x = 79,493 × 79,493
  4. Step 4: Simplify right side
    36,853x = 6,319,137,049
  5. Step 5: Solve for x
    x = 6,319,137,049/36,853
  6. Step 6: Final answer
    x = 171,468.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.