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Finding the Third Proportional to 20,154 and 41,326

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Solution

The third proportional to 20,154 and 41,326 is: 84,739.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,154 : 41,326 = 41,326 : x
  2. Step 2: Convert to fraction form
    20,154/41,326 = 41,326/x
  3. Step 3: Cross multiply
    20,154x = 41,326 × 41,326
  4. Step 4: Simplify right side
    20,154x = 1,707,838,276
  5. Step 5: Solve for x
    x = 1,707,838,276/20,154
  6. Step 6: Final answer
    x = 84,739.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.