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Finding the Third Proportional to 11,781 and 25,191

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Solution

The third proportional to 11,781 and 25,191 is: 53,865.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781 : 25,191 = 25,191 : x
  2. Step 2: Convert to fraction form
    11,781/25,191 = 25,191/x
  3. Step 3: Cross multiply
    11,781x = 25,191 × 25,191
  4. Step 4: Simplify right side
    11,781x = 634,586,481
  5. Step 5: Solve for x
    x = 634,586,481/11,781
  6. Step 6: Final answer
    x = 53,865.25

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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.