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Finding the Third Proportional to 3,840 and 9,936

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Solution

The third proportional to 3,840 and 9,936 is: 25,709.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840 : 9,936 = 9,936 : x
  2. Step 2: Convert to fraction form
    3,840/9,936 = 9,936/x
  3. Step 3: Cross multiply
    3,840x = 9,936 × 9,936
  4. Step 4: Simplify right side
    3,840x = 98,724,096
  5. Step 5: Solve for x
    x = 98,724,096/3,840
  6. Step 6: Final answer
    x = 25,709.40

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.