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Finding the Third Proportional to 874.69 and 1,823.44

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Solution

The third proportional to 874.69 and 1,823.44 is: 3,801.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.69 : 1,823.44 = 1,823.44 : x
  2. Step 2: Convert to fraction form
    874.69/1,823.44 = 1,823.44/x
  3. Step 3: Cross multiply
    874.69x = 1,823.44 × 1,823.44
  4. Step 4: Simplify right side
    874.69x = 3,324,924.32
  5. Step 5: Solve for x
    x = 3,324,924.32/874.69
  6. Step 6: Final answer
    x = 3,801.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.