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Finding the Third Proportional to 33,450.47 and 70,189.03

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Solution

The third proportional to 33,450.47 and 70,189.03 is: 147,277.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,450.47 : 70,189.03 = 70,189.03 : x
  2. Step 2: Convert to fraction form
    33,450.47/70,189.03 = 70,189.03/x
  3. Step 3: Cross multiply
    33,450.47x = 70,189.03 × 70,189.03
  4. Step 4: Simplify right side
    33,450.47x = 4,926,500,107.81
  5. Step 5: Solve for x
    x = 4,926,500,107.81/33,450.47
  6. Step 6: Final answer
    x = 147,277.46

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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.