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Finding the Third Proportional to 884.25 and 1,920

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Solution

The third proportional to 884.25 and 1,920 is: 4,168.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.25 : 1,920 = 1,920 : x
  2. Step 2: Convert to fraction form
    884.25/1,920 = 1,920/x
  3. Step 3: Cross multiply
    884.25x = 1,920 × 1,920
  4. Step 4: Simplify right side
    884.25x = 3,686,400
  5. Step 5: Solve for x
    x = 3,686,400/884.25
  6. Step 6: Final answer
    x = 4,168.96

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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.