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Finding the Third Proportional to 11,687.26 and 25,834.89

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Solution

The third proportional to 11,687.26 and 25,834.89 is: 57,108.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.26 : 25,834.89 = 25,834.89 : x
  2. Step 2: Convert to fraction form
    11,687.26/25,834.89 = 25,834.89/x
  3. Step 3: Cross multiply
    11,687.26x = 25,834.89 × 25,834.89
  4. Step 4: Simplify right side
    11,687.26x = 667,441,371.77
  5. Step 5: Solve for x
    x = 667,441,371.77/11,687.26
  6. Step 6: Final answer
    x = 57,108.48

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.