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Finding the Third Proportional to 11,966 and 25,519

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Solution

The third proportional to 11,966 and 25,519 is: 54,422.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966 : 25,519 = 25,519 : x
  2. Step 2: Convert to fraction form
    11,966/25,519 = 25,519/x
  3. Step 3: Cross multiply
    11,966x = 25,519 × 25,519
  4. Step 4: Simplify right side
    11,966x = 651,219,361
  5. Step 5: Solve for x
    x = 651,219,361/11,966
  6. Step 6: Final answer
    x = 54,422.48

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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.