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Finding the Third Proportional to 7,974.75 and 17,168.16

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Solution

The third proportional to 7,974.75 and 17,168.16 is: 36,959.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974.75 : 17,168.16 = 17,168.16 : x
  2. Step 2: Convert to fraction form
    7,974.75/17,168.16 = 17,168.16/x
  3. Step 3: Cross multiply
    7,974.75x = 17,168.16 × 17,168.16
  4. Step 4: Simplify right side
    7,974.75x = 294,745,589.02
  5. Step 5: Solve for x
    x = 294,745,589.02/7,974.75
  6. Step 6: Final answer
    x = 36,959.85

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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.