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Finding the Third Proportional to 33,243 and 50,259

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Solution

The third proportional to 33,243 and 50,259 is: 75,984.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,243 : 50,259 = 50,259 : x
  2. Step 2: Convert to fraction form
    33,243/50,259 = 50,259/x
  3. Step 3: Cross multiply
    33,243x = 50,259 × 50,259
  4. Step 4: Simplify right side
    33,243x = 2,525,967,081
  5. Step 5: Solve for x
    x = 2,525,967,081/33,243
  6. Step 6: Final answer
    x = 75,984.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.