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Finding the Third Proportional to 11,916 and 25,474

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Solution

The third proportional to 11,916 and 25,474 is: 54,458.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916 : 25,474 = 25,474 : x
  2. Step 2: Convert to fraction form
    11,916/25,474 = 25,474/x
  3. Step 3: Cross multiply
    11,916x = 25,474 × 25,474
  4. Step 4: Simplify right side
    11,916x = 648,924,676
  5. Step 5: Solve for x
    x = 648,924,676/11,916
  6. Step 6: Final answer
    x = 54,458.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.