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Finding the Third Proportional to 27,033.75 and 41,401.13

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Solution

The third proportional to 27,033.75 and 41,401.13 is: 63,404.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,033.75 : 41,401.13 = 41,401.13 : x
  2. Step 2: Convert to fraction form
    27,033.75/41,401.13 = 41,401.13/x
  3. Step 3: Cross multiply
    27,033.75x = 41,401.13 × 41,401.13
  4. Step 4: Simplify right side
    27,033.75x = 1,714,053,151.27
  5. Step 5: Solve for x
    x = 1,714,053,151.27/27,033.75
  6. Step 6: Final answer
    x = 63,404.19

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.