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Finding the Third Proportional to 28,183 and 43,616

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Solution

The third proportional to 28,183 and 43,616 is: 67,500.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,183 : 43,616 = 43,616 : x
  2. Step 2: Convert to fraction form
    28,183/43,616 = 43,616/x
  3. Step 3: Cross multiply
    28,183x = 43,616 × 43,616
  4. Step 4: Simplify right side
    28,183x = 1,902,355,456
  5. Step 5: Solve for x
    x = 1,902,355,456/28,183
  6. Step 6: Final answer
    x = 67,500.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.