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Finding the Third Proportional to 5,745.94 and 11,215.97

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Solution

The third proportional to 5,745.94 and 11,215.97 is: 21,893.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.94 : 11,215.97 = 11,215.97 : x
  2. Step 2: Convert to fraction form
    5,745.94/11,215.97 = 11,215.97/x
  3. Step 3: Cross multiply
    5,745.94x = 11,215.97 × 11,215.97
  4. Step 4: Simplify right side
    5,745.94x = 125,797,955.00
  5. Step 5: Solve for x
    x = 125,797,955.00/5,745.94
  6. Step 6: Final answer
    x = 21,893.37

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.