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Finding the Third Proportional to 4,084 and 9,938

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Solution

The third proportional to 4,084 and 9,938 is: 24,183.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,084 : 9,938 = 9,938 : x
  2. Step 2: Convert to fraction form
    4,084/9,938 = 9,938/x
  3. Step 3: Cross multiply
    4,084x = 9,938 × 9,938
  4. Step 4: Simplify right side
    4,084x = 98,763,844
  5. Step 5: Solve for x
    x = 98,763,844/4,084
  6. Step 6: Final answer
    x = 24,183.12

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.