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Finding the Third Proportional to 3,305.25 and 4,958.44

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Solution

The third proportional to 3,305.25 and 4,958.44 is: 7,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.25 : 4,958.44 = 4,958.44 : x
  2. Step 2: Convert to fraction form
    3,305.25/4,958.44 = 4,958.44/x
  3. Step 3: Cross multiply
    3,305.25x = 4,958.44 × 4,958.44
  4. Step 4: Simplify right side
    3,305.25x = 24,586,102.44
  5. Step 5: Solve for x
    x = 24,586,102.44/3,305.25
  6. Step 6: Final answer
    x = 7,438.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.