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Finding the Third Proportional to 11,714 and 25,531

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Solution

The third proportional to 11,714 and 25,531 is: 55,645.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714 : 25,531 = 25,531 : x
  2. Step 2: Convert to fraction form
    11,714/25,531 = 25,531/x
  3. Step 3: Cross multiply
    11,714x = 25,531 × 25,531
  4. Step 4: Simplify right side
    11,714x = 651,831,961
  5. Step 5: Solve for x
    x = 651,831,961/11,714
  6. Step 6: Final answer
    x = 55,645.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.