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Finding the Third Proportional to 13,204 and 29,104

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Solution

The third proportional to 13,204 and 29,104 is: 64,150.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204 : 29,104 = 29,104 : x
  2. Step 2: Convert to fraction form
    13,204/29,104 = 29,104/x
  3. Step 3: Cross multiply
    13,204x = 29,104 × 29,104
  4. Step 4: Simplify right side
    13,204x = 847,042,816
  5. Step 5: Solve for x
    x = 847,042,816/13,204
  6. Step 6: Final answer
    x = 64,150.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.