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Finding the Third Proportional to 21,984 and 33,003

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Solution

The third proportional to 21,984 and 33,003 is: 49,545.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,984 : 33,003 = 33,003 : x
  2. Step 2: Convert to fraction form
    21,984/33,003 = 33,003/x
  3. Step 3: Cross multiply
    21,984x = 33,003 × 33,003
  4. Step 4: Simplify right side
    21,984x = 1,089,198,009
  5. Step 5: Solve for x
    x = 1,089,198,009/21,984
  6. Step 6: Final answer
    x = 49,545.03

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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.