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Finding the Third Proportional to 33,331.75 and 70,410.50

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Solution

The third proportional to 33,331.75 and 70,410.50 is: 148,736.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,331.75 : 70,410.50 = 70,410.50 : x
  2. Step 2: Convert to fraction form
    33,331.75/70,410.50 = 70,410.50/x
  3. Step 3: Cross multiply
    33,331.75x = 70,410.50 × 70,410.50
  4. Step 4: Simplify right side
    33,331.75x = 4,957,638,510.25
  5. Step 5: Solve for x
    x = 4,957,638,510.25/33,331.75
  6. Step 6: Final answer
    x = 148,736.22

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.