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Finding the Third Proportional to 16,441 and 26,843

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Solution

The third proportional to 16,441 and 26,843 is: 43,826.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,441 : 26,843 = 26,843 : x
  2. Step 2: Convert to fraction form
    16,441/26,843 = 26,843/x
  3. Step 3: Cross multiply
    16,441x = 26,843 × 26,843
  4. Step 4: Simplify right side
    16,441x = 720,546,649
  5. Step 5: Solve for x
    x = 720,546,649/16,441
  6. Step 6: Final answer
    x = 43,826.21

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.