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Finding the Third Proportional to 33,170.63 and 69,414.75

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Solution

The third proportional to 33,170.63 and 69,414.75 is: 145,261.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,170.63 : 69,414.75 = 69,414.75 : x
  2. Step 2: Convert to fraction form
    33,170.63/69,414.75 = 69,414.75/x
  3. Step 3: Cross multiply
    33,170.63x = 69,414.75 × 69,414.75
  4. Step 4: Simplify right side
    33,170.63x = 4,818,407,517.56
  5. Step 5: Solve for x
    x = 4,818,407,517.56/33,170.63
  6. Step 6: Final answer
    x = 145,261.28

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.