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Finding the Third Proportional to 11,774 and 25,189

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Solution

The third proportional to 11,774 and 25,189 is: 53,888.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774 : 25,189 = 25,189 : x
  2. Step 2: Convert to fraction form
    11,774/25,189 = 25,189/x
  3. Step 3: Cross multiply
    11,774x = 25,189 × 25,189
  4. Step 4: Simplify right side
    11,774x = 634,485,721
  5. Step 5: Solve for x
    x = 634,485,721/11,774
  6. Step 6: Final answer
    x = 53,888.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.