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Finding the Third Proportional to 12,936.84 and 19,469.44

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Solution

The third proportional to 12,936.84 and 19,469.44 is: 29,300.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,936.84 : 19,469.44 = 19,469.44 : x
  2. Step 2: Convert to fraction form
    12,936.84/19,469.44 = 19,469.44/x
  3. Step 3: Cross multiply
    12,936.84x = 19,469.44 × 19,469.44
  4. Step 4: Simplify right side
    12,936.84x = 379,058,996.57
  5. Step 5: Solve for x
    x = 379,058,996.57/12,936.84
  6. Step 6: Final answer
    x = 29,300.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.