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Finding the Third Proportional to 12,104 and 25,744

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Solution

The third proportional to 12,104 and 25,744 is: 54,754.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,104 : 25,744 = 25,744 : x
  2. Step 2: Convert to fraction form
    12,104/25,744 = 25,744/x
  3. Step 3: Cross multiply
    12,104x = 25,744 × 25,744
  4. Step 4: Simplify right side
    12,104x = 662,753,536
  5. Step 5: Solve for x
    x = 662,753,536/12,104
  6. Step 6: Final answer
    x = 54,754.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.