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Finding the Third Proportional to 7,638 and 18,024

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Solution

The third proportional to 7,638 and 18,024 is: 42,532.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638 : 18,024 = 18,024 : x
  2. Step 2: Convert to fraction form
    7,638/18,024 = 18,024/x
  3. Step 3: Cross multiply
    7,638x = 18,024 × 18,024
  4. Step 4: Simplify right side
    7,638x = 324,864,576
  5. Step 5: Solve for x
    x = 324,864,576/7,638
  6. Step 6: Final answer
    x = 42,532.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.