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Finding the Third Proportional to 24,728 and 36,204

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Solution

The third proportional to 24,728 and 36,204 is: 53,005.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,728 : 36,204 = 36,204 : x
  2. Step 2: Convert to fraction form
    24,728/36,204 = 36,204/x
  3. Step 3: Cross multiply
    24,728x = 36,204 × 36,204
  4. Step 4: Simplify right side
    24,728x = 1,310,729,616
  5. Step 5: Solve for x
    x = 1,310,729,616/24,728
  6. Step 6: Final answer
    x = 53,005.89

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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.