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Finding the Third Proportional to 13,222.50 and 19,467.75

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Solution

The third proportional to 13,222.50 and 19,467.75 is: 28,662.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,222.50 : 19,467.75 = 19,467.75 : x
  2. Step 2: Convert to fraction form
    13,222.50/19,467.75 = 19,467.75/x
  3. Step 3: Cross multiply
    13,222.50x = 19,467.75 × 19,467.75
  4. Step 4: Simplify right side
    13,222.50x = 378,993,290.06
  5. Step 5: Solve for x
    x = 378,993,290.06/13,222.50
  6. Step 6: Final answer
    x = 28,662.76

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.