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Finding the Third Proportional to 12,943.50 and 18,222.75

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Solution

The third proportional to 12,943.50 and 18,222.75 is: 25,655.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,943.50 : 18,222.75 = 18,222.75 : x
  2. Step 2: Convert to fraction form
    12,943.50/18,222.75 = 18,222.75/x
  3. Step 3: Cross multiply
    12,943.50x = 18,222.75 × 18,222.75
  4. Step 4: Simplify right side
    12,943.50x = 332,068,617.56
  5. Step 5: Solve for x
    x = 332,068,617.56/12,943.50
  6. Step 6: Final answer
    x = 25,655.24

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.