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Finding the Third Proportional to 13,225 and 27,546

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Solution

The third proportional to 13,225 and 27,546 is: 57,374.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,225 : 27,546 = 27,546 : x
  2. Step 2: Convert to fraction form
    13,225/27,546 = 27,546/x
  3. Step 3: Cross multiply
    13,225x = 27,546 × 27,546
  4. Step 4: Simplify right side
    13,225x = 758,782,116
  5. Step 5: Solve for x
    x = 758,782,116/13,225
  6. Step 6: Final answer
    x = 57,374.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.