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Finding the Third Proportional to 20,661 and 42,410

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Solution

The third proportional to 20,661 and 42,410 is: 87,053.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,661 : 42,410 = 42,410 : x
  2. Step 2: Convert to fraction form
    20,661/42,410 = 42,410/x
  3. Step 3: Cross multiply
    20,661x = 42,410 × 42,410
  4. Step 4: Simplify right side
    20,661x = 1,798,608,100
  5. Step 5: Solve for x
    x = 1,798,608,100/20,661
  6. Step 6: Final answer
    x = 87,053.29

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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.