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Finding the Third Proportional to 11,861.44 and 27,010.13

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Solution

The third proportional to 11,861.44 and 27,010.13 is: 61,505.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,861.44 : 27,010.13 = 27,010.13 : x
  2. Step 2: Convert to fraction form
    11,861.44/27,010.13 = 27,010.13/x
  3. Step 3: Cross multiply
    11,861.44x = 27,010.13 × 27,010.13
  4. Step 4: Simplify right side
    11,861.44x = 729,546,852.52
  5. Step 5: Solve for x
    x = 729,546,852.52/11,861.44
  6. Step 6: Final answer
    x = 61,505.77

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.