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Finding the Third Proportional to 3,968 and 9,816

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Solution

The third proportional to 3,968 and 9,816 is: 24,282.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968 : 9,816 = 9,816 : x
  2. Step 2: Convert to fraction form
    3,968/9,816 = 9,816/x
  3. Step 3: Cross multiply
    3,968x = 9,816 × 9,816
  4. Step 4: Simplify right side
    3,968x = 96,353,856
  5. Step 5: Solve for x
    x = 96,353,856/3,968
  6. Step 6: Final answer
    x = 24,282.73

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.