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Finding the Third Proportional to 11,339 and 17,021

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Solution

The third proportional to 11,339 and 17,021 is: 25,550.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,339 : 17,021 = 17,021 : x
  2. Step 2: Convert to fraction form
    11,339/17,021 = 17,021/x
  3. Step 3: Cross multiply
    11,339x = 17,021 × 17,021
  4. Step 4: Simplify right side
    11,339x = 289,714,441
  5. Step 5: Solve for x
    x = 289,714,441/11,339
  6. Step 6: Final answer
    x = 25,550.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.