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Finding the Third Proportional to 5,684 and 11,816

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Solution

The third proportional to 5,684 and 11,816 is: 24,563.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684 : 11,816 = 11,816 : x
  2. Step 2: Convert to fraction form
    5,684/11,816 = 11,816/x
  3. Step 3: Cross multiply
    5,684x = 11,816 × 11,816
  4. Step 4: Simplify right side
    5,684x = 139,617,856
  5. Step 5: Solve for x
    x = 139,617,856/5,684
  6. Step 6: Final answer
    x = 24,563.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.