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Finding the Third Proportional to 23,174 and 50,803

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Solution

The third proportional to 23,174 and 50,803 is: 111,372.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,174 : 50,803 = 50,803 : x
  2. Step 2: Convert to fraction form
    23,174/50,803 = 50,803/x
  3. Step 3: Cross multiply
    23,174x = 50,803 × 50,803
  4. Step 4: Simplify right side
    23,174x = 2,580,944,809
  5. Step 5: Solve for x
    x = 2,580,944,809/23,174
  6. Step 6: Final answer
    x = 111,372.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.