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Finding the Third Proportional to 20,196 and 41,523

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Solution

The third proportional to 20,196 and 41,523 is: 85,371.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,196 : 41,523 = 41,523 : x
  2. Step 2: Convert to fraction form
    20,196/41,523 = 41,523/x
  3. Step 3: Cross multiply
    20,196x = 41,523 × 41,523
  4. Step 4: Simplify right side
    20,196x = 1,724,159,529
  5. Step 5: Solve for x
    x = 1,724,159,529/20,196
  6. Step 6: Final answer
    x = 85,371.34

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.