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Finding the Third Proportional to 16,004 and 36,874

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Solution

The third proportional to 16,004 and 36,874 is: 84,959.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,004 : 36,874 = 36,874 : x
  2. Step 2: Convert to fraction form
    16,004/36,874 = 36,874/x
  3. Step 3: Cross multiply
    16,004x = 36,874 × 36,874
  4. Step 4: Simplify right side
    16,004x = 1,359,691,876
  5. Step 5: Solve for x
    x = 1,359,691,876/16,004
  6. Step 6: Final answer
    x = 84,959.50

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.