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Finding the Third Proportional to 920.44 and 1,964.91

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Solution

The third proportional to 920.44 and 1,964.91 is: 4,194.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.44 : 1,964.91 = 1,964.91 : x
  2. Step 2: Convert to fraction form
    920.44/1,964.91 = 1,964.91/x
  3. Step 3: Cross multiply
    920.44x = 1,964.91 × 1,964.91
  4. Step 4: Simplify right side
    920.44x = 3,860,856.57
  5. Step 5: Solve for x
    x = 3,860,856.57/920.44
  6. Step 6: Final answer
    x = 4,194.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.