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Finding the Third Proportional to 11,961 and 26,189.25

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Solution

The third proportional to 11,961 and 26,189.25 is: 57,342.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961 : 26,189.25 = 26,189.25 : x
  2. Step 2: Convert to fraction form
    11,961/26,189.25 = 26,189.25/x
  3. Step 3: Cross multiply
    11,961x = 26,189.25 × 26,189.25
  4. Step 4: Simplify right side
    11,961x = 685,876,815.56
  5. Step 5: Solve for x
    x = 685,876,815.56/11,961
  6. Step 6: Final answer
    x = 57,342.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.