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Finding the Third Proportional to 36,381 and 56,193

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Solution

The third proportional to 36,381 and 56,193 is: 86,794.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,381 : 56,193 = 56,193 : x
  2. Step 2: Convert to fraction form
    36,381/56,193 = 56,193/x
  3. Step 3: Cross multiply
    36,381x = 56,193 × 56,193
  4. Step 4: Simplify right side
    36,381x = 3,157,653,249
  5. Step 5: Solve for x
    x = 3,157,653,249/36,381
  6. Step 6: Final answer
    x = 86,794.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.