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Finding the Third Proportional to 38,039 and 80,326

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Solution

The third proportional to 38,039 and 80,326 is: 169,622.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,039 : 80,326 = 80,326 : x
  2. Step 2: Convert to fraction form
    38,039/80,326 = 80,326/x
  3. Step 3: Cross multiply
    38,039x = 80,326 × 80,326
  4. Step 4: Simplify right side
    38,039x = 6,452,266,276
  5. Step 5: Solve for x
    x = 6,452,266,276/38,039
  6. Step 6: Final answer
    x = 169,622.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.