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Finding the Third Proportional to 11,976 and 25,902

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Solution

The third proportional to 11,976 and 25,902 is: 56,021.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,976 : 25,902 = 25,902 : x
  2. Step 2: Convert to fraction form
    11,976/25,902 = 25,902/x
  3. Step 3: Cross multiply
    11,976x = 25,902 × 25,902
  4. Step 4: Simplify right side
    11,976x = 670,913,604
  5. Step 5: Solve for x
    x = 670,913,604/11,976
  6. Step 6: Final answer
    x = 56,021.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.