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Finding the Third Proportional to 8,723.11 and 19,105.03

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Solution

The third proportional to 8,723.11 and 19,105.03 is: 41,843.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,723.11 : 19,105.03 = 19,105.03 : x
  2. Step 2: Convert to fraction form
    8,723.11/19,105.03 = 19,105.03/x
  3. Step 3: Cross multiply
    8,723.11x = 19,105.03 × 19,105.03
  4. Step 4: Simplify right side
    8,723.11x = 365,002,219.06
  5. Step 5: Solve for x
    x = 365,002,219.06/8,723.11
  6. Step 6: Final answer
    x = 41,843.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.