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Finding the Third Proportional to 13,532 and 18,026

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Solution

The third proportional to 13,532 and 18,026 is: 24,012.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532 : 18,026 = 18,026 : x
  2. Step 2: Convert to fraction form
    13,532/18,026 = 18,026/x
  3. Step 3: Cross multiply
    13,532x = 18,026 × 18,026
  4. Step 4: Simplify right side
    13,532x = 324,936,676
  5. Step 5: Solve for x
    x = 324,936,676/13,532
  6. Step 6: Final answer
    x = 24,012.46

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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.