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Finding the Third Proportional to 3,296 and 4,958

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Solution

The third proportional to 3,296 and 4,958 is: 7,458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296 : 4,958 = 4,958 : x
  2. Step 2: Convert to fraction form
    3,296/4,958 = 4,958/x
  3. Step 3: Cross multiply
    3,296x = 4,958 × 4,958
  4. Step 4: Simplify right side
    3,296x = 24,581,764
  5. Step 5: Solve for x
    x = 24,581,764/3,296
  6. Step 6: Final answer
    x = 7,458.06

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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.