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Finding the Third Proportional to 27,136.69 and 41,736.09

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Solution

The third proportional to 27,136.69 and 41,736.09 is: 64,189.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,136.69 : 41,736.09 = 41,736.09 : x
  2. Step 2: Convert to fraction form
    27,136.69/41,736.09 = 41,736.09/x
  3. Step 3: Cross multiply
    27,136.69x = 41,736.09 × 41,736.09
  4. Step 4: Simplify right side
    27,136.69x = 1,741,901,521.51
  5. Step 5: Solve for x
    x = 1,741,901,521.51/27,136.69
  6. Step 6: Final answer
    x = 64,189.91

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.