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Finding the Third Proportional to 23,355 and 50,598

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Solution

The third proportional to 23,355 and 50,598 is: 109,619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,355 : 50,598 = 50,598 : x
  2. Step 2: Convert to fraction form
    23,355/50,598 = 50,598/x
  3. Step 3: Cross multiply
    23,355x = 50,598 × 50,598
  4. Step 4: Simplify right side
    23,355x = 2,560,157,604
  5. Step 5: Solve for x
    x = 2,560,157,604/23,355
  6. Step 6: Final answer
    x = 109,619.25

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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.