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Finding the Third Proportional to 11,714 and 25,732

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Solution

The third proportional to 11,714 and 25,732 is: 56,525.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714 : 25,732 = 25,732 : x
  2. Step 2: Convert to fraction form
    11,714/25,732 = 25,732/x
  3. Step 3: Cross multiply
    11,714x = 25,732 × 25,732
  4. Step 4: Simplify right side
    11,714x = 662,135,824
  5. Step 5: Solve for x
    x = 662,135,824/11,714
  6. Step 6: Final answer
    x = 56,525.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.