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Finding the Third Proportional to 1,922.44 and 4,153.69

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Solution

The third proportional to 1,922.44 and 4,153.69 is: 8,974.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.44 : 4,153.69 = 4,153.69 : x
  2. Step 2: Convert to fraction form
    1,922.44/4,153.69 = 4,153.69/x
  3. Step 3: Cross multiply
    1,922.44x = 4,153.69 × 4,153.69
  4. Step 4: Simplify right side
    1,922.44x = 17,253,119.85
  5. Step 5: Solve for x
    x = 17,253,119.85/1,922.44
  6. Step 6: Final answer
    x = 8,974.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.