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Finding the Third Proportional to 16,204.22 and 24,997.78

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Solution

The third proportional to 16,204.22 and 24,997.78 is: 38,563.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204.22 : 24,997.78 = 24,997.78 : x
  2. Step 2: Convert to fraction form
    16,204.22/24,997.78 = 24,997.78/x
  3. Step 3: Cross multiply
    16,204.22x = 24,997.78 × 24,997.78
  4. Step 4: Simplify right side
    16,204.22x = 624,889,067.42
  5. Step 5: Solve for x
    x = 624,889,067.42/16,204.22
  6. Step 6: Final answer
    x = 38,563.36

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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.