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Finding the Third Proportional to 11,832 and 25,712

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Solution

The third proportional to 11,832 and 25,712 is: 55,874.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832 : 25,712 = 25,712 : x
  2. Step 2: Convert to fraction form
    11,832/25,712 = 25,712/x
  3. Step 3: Cross multiply
    11,832x = 25,712 × 25,712
  4. Step 4: Simplify right side
    11,832x = 661,106,944
  5. Step 5: Solve for x
    x = 661,106,944/11,832
  6. Step 6: Final answer
    x = 55,874.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.