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Finding the Third Proportional to 23,136 and 50,817

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Solution

The third proportional to 23,136 and 50,817 is: 111,616.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,136 : 50,817 = 50,817 : x
  2. Step 2: Convert to fraction form
    23,136/50,817 = 50,817/x
  3. Step 3: Cross multiply
    23,136x = 50,817 × 50,817
  4. Step 4: Simplify right side
    23,136x = 2,582,367,489
  5. Step 5: Solve for x
    x = 2,582,367,489/23,136
  6. Step 6: Final answer
    x = 111,616.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.