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Finding the Third Proportional to 13,188 and 17,126

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Solution

The third proportional to 13,188 and 17,126 is: 22,239.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188 : 17,126 = 17,126 : x
  2. Step 2: Convert to fraction form
    13,188/17,126 = 17,126/x
  3. Step 3: Cross multiply
    13,188x = 17,126 × 17,126
  4. Step 4: Simplify right side
    13,188x = 293,299,876
  5. Step 5: Solve for x
    x = 293,299,876/13,188
  6. Step 6: Final answer
    x = 22,239.91

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.