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Finding the Third Proportional to 11,842 and 25,529

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Solution

The third proportional to 11,842 and 25,529 is: 55,035.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842 : 25,529 = 25,529 : x
  2. Step 2: Convert to fraction form
    11,842/25,529 = 25,529/x
  3. Step 3: Cross multiply
    11,842x = 25,529 × 25,529
  4. Step 4: Simplify right side
    11,842x = 651,729,841
  5. Step 5: Solve for x
    x = 651,729,841/11,842
  6. Step 6: Final answer
    x = 55,035.45

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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.