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Finding the Third Proportional to 11,914 and 18,250

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Solution

The third proportional to 11,914 and 18,250 is: 27,955.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914 : 18,250 = 18,250 : x
  2. Step 2: Convert to fraction form
    11,914/18,250 = 18,250/x
  3. Step 3: Cross multiply
    11,914x = 18,250 × 18,250
  4. Step 4: Simplify right side
    11,914x = 333,062,500
  5. Step 5: Solve for x
    x = 333,062,500/11,914
  6. Step 6: Final answer
    x = 27,955.56

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.