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Finding the Third Proportional to 884.25 and 1,922.06

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Solution

The third proportional to 884.25 and 1,922.06 is: 4,177.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.25 : 1,922.06 = 1,922.06 : x
  2. Step 2: Convert to fraction form
    884.25/1,922.06 = 1,922.06/x
  3. Step 3: Cross multiply
    884.25x = 1,922.06 × 1,922.06
  4. Step 4: Simplify right side
    884.25x = 3,694,324.25
  5. Step 5: Solve for x
    x = 3,694,324.25/884.25
  6. Step 6: Final answer
    x = 4,177.92

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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.