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Finding the Third Proportional to 33,682.50 and 73,928.25

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Solution

The third proportional to 33,682.50 and 73,928.25 is: 162,261.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,682.50 : 73,928.25 = 73,928.25 : x
  2. Step 2: Convert to fraction form
    33,682.50/73,928.25 = 73,928.25/x
  3. Step 3: Cross multiply
    33,682.50x = 73,928.25 × 73,928.25
  4. Step 4: Simplify right side
    33,682.50x = 5,465,386,148.06
  5. Step 5: Solve for x
    x = 5,465,386,148.06/33,682.50
  6. Step 6: Final answer
    x = 162,261.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.