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Finding the Third Proportional to 23,094 and 50,231

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Solution

The third proportional to 23,094 and 50,231 is: 109,255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,094 : 50,231 = 50,231 : x
  2. Step 2: Convert to fraction form
    23,094/50,231 = 50,231/x
  3. Step 3: Cross multiply
    23,094x = 50,231 × 50,231
  4. Step 4: Simplify right side
    23,094x = 2,523,153,361
  5. Step 5: Solve for x
    x = 2,523,153,361/23,094
  6. Step 6: Final answer
    x = 109,255.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.