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Finding the Third Proportional to 23,049 and 50,013

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Solution

The third proportional to 23,049 and 50,013 is: 108,520.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,049 : 50,013 = 50,013 : x
  2. Step 2: Convert to fraction form
    23,049/50,013 = 50,013/x
  3. Step 3: Cross multiply
    23,049x = 50,013 × 50,013
  4. Step 4: Simplify right side
    23,049x = 2,501,300,169
  5. Step 5: Solve for x
    x = 2,501,300,169/23,049
  6. Step 6: Final answer
    x = 108,520.98

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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.