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Finding the Third Proportional to 13,213.13 and 17,936.44

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Solution

The third proportional to 13,213.13 and 17,936.44 is: 24,348.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.13 : 17,936.44 = 17,936.44 : x
  2. Step 2: Convert to fraction form
    13,213.13/17,936.44 = 17,936.44/x
  3. Step 3: Cross multiply
    13,213.13x = 17,936.44 × 17,936.44
  4. Step 4: Simplify right side
    13,213.13x = 321,715,790.19
  5. Step 5: Solve for x
    x = 321,715,790.19/13,213.13
  6. Step 6: Final answer
    x = 24,348.20

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1.5x scale

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.