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Finding the Third Proportional to 23,259 and 50,001

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Solution

The third proportional to 23,259 and 50,001 is: 107,489.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,259 : 50,001 = 50,001 : x
  2. Step 2: Convert to fraction form
    23,259/50,001 = 50,001/x
  3. Step 3: Cross multiply
    23,259x = 50,001 × 50,001
  4. Step 4: Simplify right side
    23,259x = 2,500,100,001
  5. Step 5: Solve for x
    x = 2,500,100,001/23,259
  6. Step 6: Final answer
    x = 107,489.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.