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Finding the Third Proportional to 1,922.06 and 4,138.83

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Solution

The third proportional to 1,922.06 and 4,138.83 is: 8,912.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.06 : 4,138.83 = 4,138.83 : x
  2. Step 2: Convert to fraction form
    1,922.06/4,138.83 = 4,138.83/x
  3. Step 3: Cross multiply
    1,922.06x = 4,138.83 × 4,138.83
  4. Step 4: Simplify right side
    1,922.06x = 17,129,898.25
  5. Step 5: Solve for x
    x = 17,129,898.25/1,922.06
  6. Step 6: Final answer
    x = 8,912.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.