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Finding the Third Proportional to 11,484 and 21,816

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Solution

The third proportional to 11,484 and 21,816 is: 41,443.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,484 : 21,816 = 21,816 : x
  2. Step 2: Convert to fraction form
    11,484/21,816 = 21,816/x
  3. Step 3: Cross multiply
    11,484x = 21,816 × 21,816
  4. Step 4: Simplify right side
    11,484x = 475,937,856
  5. Step 5: Solve for x
    x = 475,937,856/11,484
  6. Step 6: Final answer
    x = 41,443.56

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.