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Finding the Third Proportional to 13,267 and 18,029

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Solution

The third proportional to 13,267 and 18,029 is: 24,500.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,267 : 18,029 = 18,029 : x
  2. Step 2: Convert to fraction form
    13,267/18,029 = 18,029/x
  3. Step 3: Cross multiply
    13,267x = 18,029 × 18,029
  4. Step 4: Simplify right side
    13,267x = 325,044,841
  5. Step 5: Solve for x
    x = 325,044,841/13,267
  6. Step 6: Final answer
    x = 24,500.25

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.