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Finding the Third Proportional to 10,204 and 13,652

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Solution

The third proportional to 10,204 and 13,652 is: 18,265.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204 : 13,652 = 13,652 : x
  2. Step 2: Convert to fraction form
    10,204/13,652 = 13,652/x
  3. Step 3: Cross multiply
    10,204x = 13,652 × 13,652
  4. Step 4: Simplify right side
    10,204x = 186,377,104
  5. Step 5: Solve for x
    x = 186,377,104/10,204
  6. Step 6: Final answer
    x = 18,265.10

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.