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Finding the Third Proportional to 18,071.25 and 38,329.50

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Solution

The third proportional to 18,071.25 and 38,329.50 is: 81,297.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,071.25 : 38,329.50 = 38,329.50 : x
  2. Step 2: Convert to fraction form
    18,071.25/38,329.50 = 38,329.50/x
  3. Step 3: Cross multiply
    18,071.25x = 38,329.50 × 38,329.50
  4. Step 4: Simplify right side
    18,071.25x = 1,469,150,570.25
  5. Step 5: Solve for x
    x = 1,469,150,570.25/18,071.25
  6. Step 6: Final answer
    x = 81,297.67

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.