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Finding the Third Proportional to 11,996 and 25,454

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Solution

The third proportional to 11,996 and 25,454 is: 54,010.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,996 : 25,454 = 25,454 : x
  2. Step 2: Convert to fraction form
    11,996/25,454 = 25,454/x
  3. Step 3: Cross multiply
    11,996x = 25,454 × 25,454
  4. Step 4: Simplify right side
    11,996x = 647,906,116
  5. Step 5: Solve for x
    x = 647,906,116/11,996
  6. Step 6: Final answer
    x = 54,010.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.