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Finding the Third Proportional to 13,226 and 17,635

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Solution

The third proportional to 13,226 and 17,635 is: 23,513.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,226 : 17,635 = 17,635 : x
  2. Step 2: Convert to fraction form
    13,226/17,635 = 17,635/x
  3. Step 3: Cross multiply
    13,226x = 17,635 × 17,635
  4. Step 4: Simplify right side
    13,226x = 310,993,225
  5. Step 5: Solve for x
    x = 310,993,225/13,226
  6. Step 6: Final answer
    x = 23,513.78

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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.