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Finding the Third Proportional to 22,296 and 47,994

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Solution

The third proportional to 22,296 and 47,994 is: 103,311.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,296 : 47,994 = 47,994 : x
  2. Step 2: Convert to fraction form
    22,296/47,994 = 47,994/x
  3. Step 3: Cross multiply
    22,296x = 47,994 × 47,994
  4. Step 4: Simplify right side
    22,296x = 2,303,424,036
  5. Step 5: Solve for x
    x = 2,303,424,036/22,296
  6. Step 6: Final answer
    x = 103,311.09

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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.