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Finding the Third Proportional to 11,884 and 23,816

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Solution

The third proportional to 11,884 and 23,816 is: 47,728.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884 : 23,816 = 23,816 : x
  2. Step 2: Convert to fraction form
    11,884/23,816 = 23,816/x
  3. Step 3: Cross multiply
    11,884x = 23,816 × 23,816
  4. Step 4: Simplify right side
    11,884x = 567,201,856
  5. Step 5: Solve for x
    x = 567,201,856/11,884
  6. Step 6: Final answer
    x = 47,728.19

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.