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Finding the Third Proportional to 30,661 and 48,183

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Solution

The third proportional to 30,661 and 48,183 is: 75,718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,661 : 48,183 = 48,183 : x
  2. Step 2: Convert to fraction form
    30,661/48,183 = 48,183/x
  3. Step 3: Cross multiply
    30,661x = 48,183 × 48,183
  4. Step 4: Simplify right side
    30,661x = 2,321,601,489
  5. Step 5: Solve for x
    x = 2,321,601,489/30,661
  6. Step 6: Final answer
    x = 75,718.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.