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Finding the Third Proportional to 16,195 and 34,874

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Solution

The third proportional to 16,195 and 34,874 is: 75,097.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,195 : 34,874 = 34,874 : x
  2. Step 2: Convert to fraction form
    16,195/34,874 = 34,874/x
  3. Step 3: Cross multiply
    16,195x = 34,874 × 34,874
  4. Step 4: Simplify right side
    16,195x = 1,216,195,876
  5. Step 5: Solve for x
    x = 1,216,195,876/16,195
  6. Step 6: Final answer
    x = 75,097.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.