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Finding the Third Proportional to 27,369.13 and 41,175.19

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Solution

The third proportional to 27,369.13 and 41,175.19 is: 61,945.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,369.13 : 41,175.19 = 41,175.19 : x
  2. Step 2: Convert to fraction form
    27,369.13/41,175.19 = 41,175.19/x
  3. Step 3: Cross multiply
    27,369.13x = 41,175.19 × 41,175.19
  4. Step 4: Simplify right side
    27,369.13x = 1,695,396,065.66
  5. Step 5: Solve for x
    x = 1,695,396,065.66/27,369.13
  6. Step 6: Final answer
    x = 61,945.57

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Why These Related Problems?

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