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Finding the Third Proportional to 33,000 and 44,832

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Solution

The third proportional to 33,000 and 44,832 is: 60,906.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,000 : 44,832 = 44,832 : x
  2. Step 2: Convert to fraction form
    33,000/44,832 = 44,832/x
  3. Step 3: Cross multiply
    33,000x = 44,832 × 44,832
  4. Step 4: Simplify right side
    33,000x = 2,009,908,224
  5. Step 5: Solve for x
    x = 2,009,908,224/33,000
  6. Step 6: Final answer
    x = 60,906.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.