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Finding the Third Proportional to 13,226 and 17,954

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Solution

The third proportional to 13,226 and 17,954 is: 24,372.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,226 : 17,954 = 17,954 : x
  2. Step 2: Convert to fraction form
    13,226/17,954 = 17,954/x
  3. Step 3: Cross multiply
    13,226x = 17,954 × 17,954
  4. Step 4: Simplify right side
    13,226x = 322,346,116
  5. Step 5: Solve for x
    x = 322,346,116/13,226
  6. Step 6: Final answer
    x = 24,372.15

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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.