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Finding the Third Proportional to 20,410 and 41,684

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Solution

The third proportional to 20,410 and 41,684 is: 85,132.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,410 : 41,684 = 41,684 : x
  2. Step 2: Convert to fraction form
    20,410/41,684 = 41,684/x
  3. Step 3: Cross multiply
    20,410x = 41,684 × 41,684
  4. Step 4: Simplify right side
    20,410x = 1,737,555,856
  5. Step 5: Solve for x
    x = 1,737,555,856/20,410
  6. Step 6: Final answer
    x = 85,132.58

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.