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Finding the Third Proportional to 10,524 and 15,204

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Solution

The third proportional to 10,524 and 15,204 is: 21,965.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524 : 15,204 = 15,204 : x
  2. Step 2: Convert to fraction form
    10,524/15,204 = 15,204/x
  3. Step 3: Cross multiply
    10,524x = 15,204 × 15,204
  4. Step 4: Simplify right side
    10,524x = 231,161,616
  5. Step 5: Solve for x
    x = 231,161,616/10,524
  6. Step 6: Final answer
    x = 21,965.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.