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Finding the Third Proportional to 884.50 and 1,795

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Solution

The third proportional to 884.50 and 1,795 is: 3,642.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.50 : 1,795 = 1,795 : x
  2. Step 2: Convert to fraction form
    884.50/1,795 = 1,795/x
  3. Step 3: Cross multiply
    884.50x = 1,795 × 1,795
  4. Step 4: Simplify right side
    884.50x = 3,222,025
  5. Step 5: Solve for x
    x = 3,222,025/884.50
  6. Step 6: Final answer
    x = 3,642.76

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.