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Finding the Third Proportional to 8,058.75 and 11,936.25

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Solution

The third proportional to 8,058.75 and 11,936.25 is: 17,679.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,058.75 : 11,936.25 = 11,936.25 : x
  2. Step 2: Convert to fraction form
    8,058.75/11,936.25 = 11,936.25/x
  3. Step 3: Cross multiply
    8,058.75x = 11,936.25 × 11,936.25
  4. Step 4: Simplify right side
    8,058.75x = 142,474,064.06
  5. Step 5: Solve for x
    x = 142,474,064.06/8,058.75
  6. Step 6: Final answer
    x = 17,679.42

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.