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Finding the Third Proportional to 23,285 and 50,621

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Solution

The third proportional to 23,285 and 50,621 is: 110,048.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,285 : 50,621 = 50,621 : x
  2. Step 2: Convert to fraction form
    23,285/50,621 = 50,621/x
  3. Step 3: Cross multiply
    23,285x = 50,621 × 50,621
  4. Step 4: Simplify right side
    23,285x = 2,562,485,641
  5. Step 5: Solve for x
    x = 2,562,485,641/23,285
  6. Step 6: Final answer
    x = 110,048.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.