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Finding the Third Proportional to 20,584.13 and 41,806.13

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Solution

The third proportional to 20,584.13 and 41,806.13 is: 84,907.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,584.13 : 41,806.13 = 41,806.13 : x
  2. Step 2: Convert to fraction form
    20,584.13/41,806.13 = 41,806.13/x
  3. Step 3: Cross multiply
    20,584.13x = 41,806.13 × 41,806.13
  4. Step 4: Simplify right side
    20,584.13x = 1,747,752,087.52
  5. Step 5: Solve for x
    x = 1,747,752,087.52/20,584.13
  6. Step 6: Final answer
    x = 84,907.77

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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.