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Finding the Third Proportional to 7,450.69 and 12,272.06

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Solution

The third proportional to 7,450.69 and 12,272.06 is: 20,213.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,450.69 : 12,272.06 = 12,272.06 : x
  2. Step 2: Convert to fraction form
    7,450.69/12,272.06 = 12,272.06/x
  3. Step 3: Cross multiply
    7,450.69x = 12,272.06 × 12,272.06
  4. Step 4: Simplify right side
    7,450.69x = 150,603,518.00
  5. Step 5: Solve for x
    x = 150,603,518.00/7,450.69
  6. Step 6: Final answer
    x = 20,213.37

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.