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Finding the Third Proportional to 19,806 and 41,245

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Solution

The third proportional to 19,806 and 41,245 is: 85,890.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,806 : 41,245 = 41,245 : x
  2. Step 2: Convert to fraction form
    19,806/41,245 = 41,245/x
  3. Step 3: Cross multiply
    19,806x = 41,245 × 41,245
  4. Step 4: Simplify right side
    19,806x = 1,701,150,025
  5. Step 5: Solve for x
    x = 1,701,150,025/19,806
  6. Step 6: Final answer
    x = 85,890.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.