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Finding the Third Proportional to 5,204 and 12,288

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Solution

The third proportional to 5,204 and 12,288 is: 29,015.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204 : 12,288 = 12,288 : x
  2. Step 2: Convert to fraction form
    5,204/12,288 = 12,288/x
  3. Step 3: Cross multiply
    5,204x = 12,288 × 12,288
  4. Step 4: Simplify right side
    5,204x = 150,994,944
  5. Step 5: Solve for x
    x = 150,994,944/5,204
  6. Step 6: Final answer
    x = 29,015.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.