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Finding the Third Proportional to 20,050 and 42,004

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Solution

The third proportional to 20,050 and 42,004 is: 87,996.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,050 : 42,004 = 42,004 : x
  2. Step 2: Convert to fraction form
    20,050/42,004 = 42,004/x
  3. Step 3: Cross multiply
    20,050x = 42,004 × 42,004
  4. Step 4: Simplify right side
    20,050x = 1,764,336,016
  5. Step 5: Solve for x
    x = 1,764,336,016/20,050
  6. Step 6: Final answer
    x = 87,996.81

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.