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Finding the Third Proportional to 847.69 and 1,853.44

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Solution

The third proportional to 847.69 and 1,853.44 is: 4,052.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.69 : 1,853.44 = 1,853.44 : x
  2. Step 2: Convert to fraction form
    847.69/1,853.44 = 1,853.44/x
  3. Step 3: Cross multiply
    847.69x = 1,853.44 × 1,853.44
  4. Step 4: Simplify right side
    847.69x = 3,435,230.57
  5. Step 5: Solve for x
    x = 3,435,230.57/847.69
  6. Step 6: Final answer
    x = 4,052.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.