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Finding the Third Proportional to 38,556 and 56,193

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Solution

The third proportional to 38,556 and 56,193 is: 81,897.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,556 : 56,193 = 56,193 : x
  2. Step 2: Convert to fraction form
    38,556/56,193 = 56,193/x
  3. Step 3: Cross multiply
    38,556x = 56,193 × 56,193
  4. Step 4: Simplify right side
    38,556x = 3,157,653,249
  5. Step 5: Solve for x
    x = 3,157,653,249/38,556
  6. Step 6: Final answer
    x = 81,897.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.