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Finding the Third Proportional to 10,998.50 and 14,942.75

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Solution

The third proportional to 10,998.50 and 14,942.75 is: 20,301.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,998.50 : 14,942.75 = 14,942.75 : x
  2. Step 2: Convert to fraction form
    10,998.50/14,942.75 = 14,942.75/x
  3. Step 3: Cross multiply
    10,998.50x = 14,942.75 × 14,942.75
  4. Step 4: Simplify right side
    10,998.50x = 223,285,777.56
  5. Step 5: Solve for x
    x = 223,285,777.56/10,998.50
  6. Step 6: Final answer
    x = 20,301.48

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.