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Finding the Third Proportional to 33,388 and 50,000

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Solution

The third proportional to 33,388 and 50,000 is: 74,877.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,388 : 50,000 = 50,000 : x
  2. Step 2: Convert to fraction form
    33,388/50,000 = 50,000/x
  3. Step 3: Cross multiply
    33,388x = 50,000 × 50,000
  4. Step 4: Simplify right side
    33,388x = 2,500,000,000
  5. Step 5: Solve for x
    x = 2,500,000,000/33,388
  6. Step 6: Final answer
    x = 74,877.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.