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Finding the Third Proportional to 7,023.94 and 14,912.44

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Solution

The third proportional to 7,023.94 and 14,912.44 is: 31,660.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.94 : 14,912.44 = 14,912.44 : x
  2. Step 2: Convert to fraction form
    7,023.94/14,912.44 = 14,912.44/x
  3. Step 3: Cross multiply
    7,023.94x = 14,912.44 × 14,912.44
  4. Step 4: Simplify right side
    7,023.94x = 222,380,792.19
  5. Step 5: Solve for x
    x = 222,380,792.19/7,023.94
  6. Step 6: Final answer
    x = 31,660.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.