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Finding the Third Proportional to 13,910.44 and 30,822.94

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Solution

The third proportional to 13,910.44 and 30,822.94 is: 68,297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,910.44 : 30,822.94 = 30,822.94 : x
  2. Step 2: Convert to fraction form
    13,910.44/30,822.94 = 30,822.94/x
  3. Step 3: Cross multiply
    13,910.44x = 30,822.94 × 30,822.94
  4. Step 4: Simplify right side
    13,910.44x = 950,053,476.13
  5. Step 5: Solve for x
    x = 950,053,476.13/13,910.44
  6. Step 6: Final answer
    x = 68,297.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.