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Finding the Third Proportional to 8,041 and 16,326

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Solution

The third proportional to 8,041 and 16,326 is: 33,147.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041 : 16,326 = 16,326 : x
  2. Step 2: Convert to fraction form
    8,041/16,326 = 16,326/x
  3. Step 3: Cross multiply
    8,041x = 16,326 × 16,326
  4. Step 4: Simplify right side
    8,041x = 266,538,276
  5. Step 5: Solve for x
    x = 266,538,276/8,041
  6. Step 6: Final answer
    x = 33,147.40

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.