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Finding the Third Proportional to 20,120 and 41,584

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Solution

The third proportional to 20,120 and 41,584 is: 85,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,120 : 41,584 = 41,584 : x
  2. Step 2: Convert to fraction form
    20,120/41,584 = 41,584/x
  3. Step 3: Cross multiply
    20,120x = 41,584 × 41,584
  4. Step 4: Simplify right side
    20,120x = 1,729,229,056
  5. Step 5: Solve for x
    x = 1,729,229,056/20,120
  6. Step 6: Final answer
    x = 85,945.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.