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Finding the Third Proportional to 13,524 and 18,014

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Solution

The third proportional to 13,524 and 18,014 is: 23,994.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,524 : 18,014 = 18,014 : x
  2. Step 2: Convert to fraction form
    13,524/18,014 = 18,014/x
  3. Step 3: Cross multiply
    13,524x = 18,014 × 18,014
  4. Step 4: Simplify right side
    13,524x = 324,504,196
  5. Step 5: Solve for x
    x = 324,504,196/13,524
  6. Step 6: Final answer
    x = 23,994.69

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.