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Finding the Third Proportional to 27,331.13 and 41,081.06

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Solution

The third proportional to 27,331.13 and 41,081.06 is: 61,748.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,331.13 : 41,081.06 = 41,081.06 : x
  2. Step 2: Convert to fraction form
    27,331.13/41,081.06 = 41,081.06/x
  3. Step 3: Cross multiply
    27,331.13x = 41,081.06 × 41,081.06
  4. Step 4: Simplify right side
    27,331.13x = 1,687,653,696.13
  5. Step 5: Solve for x
    x = 1,687,653,696.13/27,331.13
  6. Step 6: Final answer
    x = 61,748.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.