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Finding the Third Proportional to 9,296 and 12,144

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Solution

The third proportional to 9,296 and 12,144 is: 15,864.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296 : 12,144 = 12,144 : x
  2. Step 2: Convert to fraction form
    9,296/12,144 = 12,144/x
  3. Step 3: Cross multiply
    9,296x = 12,144 × 12,144
  4. Step 4: Simplify right side
    9,296x = 147,476,736
  5. Step 5: Solve for x
    x = 147,476,736/9,296
  6. Step 6: Final answer
    x = 15,864.54

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.