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Finding the Third Proportional to 33,283 and 50,271

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Solution

The third proportional to 33,283 and 50,271 is: 75,929.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,283 : 50,271 = 50,271 : x
  2. Step 2: Convert to fraction form
    33,283/50,271 = 50,271/x
  3. Step 3: Cross multiply
    33,283x = 50,271 × 50,271
  4. Step 4: Simplify right side
    33,283x = 2,527,173,441
  5. Step 5: Solve for x
    x = 2,527,173,441/33,283
  6. Step 6: Final answer
    x = 75,929.86

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