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Finding the Third Proportional to 12,031 and 18,593

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Solution

The third proportional to 12,031 and 18,593 is: 28,734.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031 : 18,593 = 18,593 : x
  2. Step 2: Convert to fraction form
    12,031/18,593 = 18,593/x
  3. Step 3: Cross multiply
    12,031x = 18,593 × 18,593
  4. Step 4: Simplify right side
    12,031x = 345,699,649
  5. Step 5: Solve for x
    x = 345,699,649/12,031
  6. Step 6: Final answer
    x = 28,734.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.