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Finding the Third Proportional to 20,240 and 41,483

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Solution

The third proportional to 20,240 and 41,483 is: 85,021.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,240 : 41,483 = 41,483 : x
  2. Step 2: Convert to fraction form
    20,240/41,483 = 41,483/x
  3. Step 3: Cross multiply
    20,240x = 41,483 × 41,483
  4. Step 4: Simplify right side
    20,240x = 1,720,839,289
  5. Step 5: Solve for x
    x = 1,720,839,289/20,240
  6. Step 6: Final answer
    x = 85,021.70

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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.