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Finding the Third Proportional to 23,204.50 and 36,193

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Solution

The third proportional to 23,204.50 and 36,193 is: 56,451.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,204.50 : 36,193 = 36,193 : x
  2. Step 2: Convert to fraction form
    23,204.50/36,193 = 36,193/x
  3. Step 3: Cross multiply
    23,204.50x = 36,193 × 36,193
  4. Step 4: Simplify right side
    23,204.50x = 1,309,933,249
  5. Step 5: Solve for x
    x = 1,309,933,249/23,204.50
  6. Step 6: Final answer
    x = 56,451.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.