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Finding the Third Proportional to 11,838 and 25,467

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Solution

The third proportional to 11,838 and 25,467 is: 54,786.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838 : 25,467 = 25,467 : x
  2. Step 2: Convert to fraction form
    11,838/25,467 = 25,467/x
  3. Step 3: Cross multiply
    11,838x = 25,467 × 25,467
  4. Step 4: Simplify right side
    11,838x = 648,568,089
  5. Step 5: Solve for x
    x = 648,568,089/11,838
  6. Step 6: Final answer
    x = 54,786.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.