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Finding the Third Proportional to 27,441.35 and 41,162.03

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Solution

The third proportional to 27,441.35 and 41,162.03 is: 61,743.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,441.35 : 41,162.03 = 41,162.03 : x
  2. Step 2: Convert to fraction form
    27,441.35/41,162.03 = 41,162.03/x
  3. Step 3: Cross multiply
    27,441.35x = 41,162.03 × 41,162.03
  4. Step 4: Simplify right side
    27,441.35x = 1,694,312,359.38
  5. Step 5: Solve for x
    x = 1,694,312,359.38/27,441.35
  6. Step 6: Final answer
    x = 61,743.04

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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.