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Finding the Third Proportional to 20,004 and 42,474

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Solution

The third proportional to 20,004 and 42,474 is: 90,184.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,004 : 42,474 = 42,474 : x
  2. Step 2: Convert to fraction form
    20,004/42,474 = 42,474/x
  3. Step 3: Cross multiply
    20,004x = 42,474 × 42,474
  4. Step 4: Simplify right side
    20,004x = 1,804,040,676
  5. Step 5: Solve for x
    x = 1,804,040,676/20,004
  6. Step 6: Final answer
    x = 90,184.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.