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Finding the Third Proportional to 19,984 and 33,152

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Solution

The third proportional to 19,984 and 33,152 is: 54,996.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,984 : 33,152 = 33,152 : x
  2. Step 2: Convert to fraction form
    19,984/33,152 = 33,152/x
  3. Step 3: Cross multiply
    19,984x = 33,152 × 33,152
  4. Step 4: Simplify right side
    19,984x = 1,099,055,104
  5. Step 5: Solve for x
    x = 1,099,055,104/19,984
  6. Step 6: Final answer
    x = 54,996.75

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.