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Finding the Third Proportional to 13,226 and 17,631

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Solution

The third proportional to 13,226 and 17,631 is: 23,503.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,226 : 17,631 = 17,631 : x
  2. Step 2: Convert to fraction form
    13,226/17,631 = 17,631/x
  3. Step 3: Cross multiply
    13,226x = 17,631 × 17,631
  4. Step 4: Simplify right side
    13,226x = 310,852,161
  5. Step 5: Solve for x
    x = 310,852,161/13,226
  6. Step 6: Final answer
    x = 23,503.11

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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.