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Finding the Third Proportional to 23,096 and 50,608

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Solution

The third proportional to 23,096 and 50,608 is: 110,892.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,096 : 50,608 = 50,608 : x
  2. Step 2: Convert to fraction form
    23,096/50,608 = 50,608/x
  3. Step 3: Cross multiply
    23,096x = 50,608 × 50,608
  4. Step 4: Simplify right side
    23,096x = 2,561,169,664
  5. Step 5: Solve for x
    x = 2,561,169,664/23,096
  6. Step 6: Final answer
    x = 110,892.35

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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.