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Finding the Third Proportional to 9,367 and 14,024

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Solution

The third proportional to 9,367 and 14,024 is: 20,996.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,367 : 14,024 = 14,024 : x
  2. Step 2: Convert to fraction form
    9,367/14,024 = 14,024/x
  3. Step 3: Cross multiply
    9,367x = 14,024 × 14,024
  4. Step 4: Simplify right side
    9,367x = 196,672,576
  5. Step 5: Solve for x
    x = 196,672,576/9,367
  6. Step 6: Final answer
    x = 20,996.32

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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.