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Finding the Third Proportional to 13,289 and 18,579

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Solution

The third proportional to 13,289 and 18,579 is: 25,974.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,289 : 18,579 = 18,579 : x
  2. Step 2: Convert to fraction form
    13,289/18,579 = 18,579/x
  3. Step 3: Cross multiply
    13,289x = 18,579 × 18,579
  4. Step 4: Simplify right side
    13,289x = 345,179,241
  5. Step 5: Solve for x
    x = 345,179,241/13,289
  6. Step 6: Final answer
    x = 25,974.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.