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Finding the Third Proportional to 11,963 and 26,193

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Solution

The third proportional to 11,963 and 26,193 is: 57,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963 : 26,193 = 26,193 : x
  2. Step 2: Convert to fraction form
    11,963/26,193 = 26,193/x
  3. Step 3: Cross multiply
    11,963x = 26,193 × 26,193
  4. Step 4: Simplify right side
    11,963x = 686,073,249
  5. Step 5: Solve for x
    x = 686,073,249/11,963
  6. Step 6: Final answer
    x = 57,349.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.