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Finding the Third Proportional to 5,005.11 and 10,744.92

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Solution

The third proportional to 5,005.11 and 10,744.92 is: 23,067.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.11 : 10,744.92 = 10,744.92 : x
  2. Step 2: Convert to fraction form
    5,005.11/10,744.92 = 10,744.92/x
  3. Step 3: Cross multiply
    5,005.11x = 10,744.92 × 10,744.92
  4. Step 4: Simplify right side
    5,005.11x = 115,453,283.14
  5. Step 5: Solve for x
    x = 115,453,283.14/5,005.11
  6. Step 6: Final answer
    x = 23,067.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.