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Finding the Third Proportional to 18,011 and 27,593

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Solution

The third proportional to 18,011 and 27,593 is: 42,272.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,011 : 27,593 = 27,593 : x
  2. Step 2: Convert to fraction form
    18,011/27,593 = 27,593/x
  3. Step 3: Cross multiply
    18,011x = 27,593 × 27,593
  4. Step 4: Simplify right side
    18,011x = 761,373,649
  5. Step 5: Solve for x
    x = 761,373,649/18,011
  6. Step 6: Final answer
    x = 42,272.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.