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Finding the Third Proportional to 7,825.50 and 16,956

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Solution

The third proportional to 7,825.50 and 16,956 is: 36,739.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.50 : 16,956 = 16,956 : x
  2. Step 2: Convert to fraction form
    7,825.50/16,956 = 16,956/x
  3. Step 3: Cross multiply
    7,825.50x = 16,956 × 16,956
  4. Step 4: Simplify right side
    7,825.50x = 287,505,936
  5. Step 5: Solve for x
    x = 287,505,936/7,825.50
  6. Step 6: Final answer
    x = 36,739.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.