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Finding the Third Proportional to 16,177 and 23,326

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Solution

The third proportional to 16,177 and 23,326 is: 33,634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,177 : 23,326 = 23,326 : x
  2. Step 2: Convert to fraction form
    16,177/23,326 = 23,326/x
  3. Step 3: Cross multiply
    16,177x = 23,326 × 23,326
  4. Step 4: Simplify right side
    16,177x = 544,102,276
  5. Step 5: Solve for x
    x = 544,102,276/16,177
  6. Step 6: Final answer
    x = 33,634.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.