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Finding the Third Proportional to 23,250 and 50,847

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Solution

The third proportional to 23,250 and 50,847 is: 111,200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,250 : 50,847 = 50,847 : x
  2. Step 2: Convert to fraction form
    23,250/50,847 = 50,847/x
  3. Step 3: Cross multiply
    23,250x = 50,847 × 50,847
  4. Step 4: Simplify right side
    23,250x = 2,585,417,409
  5. Step 5: Solve for x
    x = 2,585,417,409/23,250
  6. Step 6: Final answer
    x = 111,200.75

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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.