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Finding the Third Proportional to 11,329 and 23,689

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Solution

The third proportional to 11,329 and 23,689 is: 49,533.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,329 : 23,689 = 23,689 : x
  2. Step 2: Convert to fraction form
    11,329/23,689 = 23,689/x
  3. Step 3: Cross multiply
    11,329x = 23,689 × 23,689
  4. Step 4: Simplify right side
    11,329x = 561,168,721
  5. Step 5: Solve for x
    x = 561,168,721/11,329
  6. Step 6: Final answer
    x = 49,533.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.