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Finding the Third Proportional to 23,272 and 50,888

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Solution

The third proportional to 23,272 and 50,888 is: 111,274.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,272 : 50,888 = 50,888 : x
  2. Step 2: Convert to fraction form
    23,272/50,888 = 50,888/x
  3. Step 3: Cross multiply
    23,272x = 50,888 × 50,888
  4. Step 4: Simplify right side
    23,272x = 2,589,588,544
  5. Step 5: Solve for x
    x = 2,589,588,544/23,272
  6. Step 6: Final answer
    x = 111,274.86

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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.