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Finding the Third Proportional to 11,760 and 25,374

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Solution

The third proportional to 11,760 and 25,374 is: 54,748.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760 : 25,374 = 25,374 : x
  2. Step 2: Convert to fraction form
    11,760/25,374 = 25,374/x
  3. Step 3: Cross multiply
    11,760x = 25,374 × 25,374
  4. Step 4: Simplify right side
    11,760x = 643,839,876
  5. Step 5: Solve for x
    x = 643,839,876/11,760
  6. Step 6: Final answer
    x = 54,748.29

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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.