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Finding the Third Proportional to 5,456.11 and 11,064.09

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Solution

The third proportional to 5,456.11 and 11,064.09 is: 22,436.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,456.11 : 11,064.09 = 11,064.09 : x
  2. Step 2: Convert to fraction form
    5,456.11/11,064.09 = 11,064.09/x
  3. Step 3: Cross multiply
    5,456.11x = 11,064.09 × 11,064.09
  4. Step 4: Simplify right side
    5,456.11x = 122,414,170.51
  5. Step 5: Solve for x
    x = 122,414,170.51/5,456.11
  6. Step 6: Final answer
    x = 22,436.17

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.