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Finding the Third Proportional to 12,069.98 and 18,464.06

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Solution

The third proportional to 12,069.98 and 18,464.06 is: 28,245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,069.98 : 18,464.06 = 18,464.06 : x
  2. Step 2: Convert to fraction form
    12,069.98/18,464.06 = 18,464.06/x
  3. Step 3: Cross multiply
    12,069.98x = 18,464.06 × 18,464.06
  4. Step 4: Simplify right side
    12,069.98x = 340,921,604.00
  5. Step 5: Solve for x
    x = 340,921,604.00/12,069.98
  6. Step 6: Final answer
    x = 28,245.41

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.