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Finding the Third Proportional to 13,638 and 27,600

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Solution

The third proportional to 13,638 and 27,600 is: 55,855.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638 : 27,600 = 27,600 : x
  2. Step 2: Convert to fraction form
    13,638/27,600 = 27,600/x
  3. Step 3: Cross multiply
    13,638x = 27,600 × 27,600
  4. Step 4: Simplify right side
    13,638x = 761,760,000
  5. Step 5: Solve for x
    x = 761,760,000/13,638
  6. Step 6: Final answer
    x = 55,855.70

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.