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Finding the Third Proportional to 33,616 and 70,672

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Solution

The third proportional to 33,616 and 70,672 is: 148,576.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,616 : 70,672 = 70,672 : x
  2. Step 2: Convert to fraction form
    33,616/70,672 = 70,672/x
  3. Step 3: Cross multiply
    33,616x = 70,672 × 70,672
  4. Step 4: Simplify right side
    33,616x = 4,994,531,584
  5. Step 5: Solve for x
    x = 4,994,531,584/33,616
  6. Step 6: Final answer
    x = 148,576.02

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.