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Finding the Third Proportional to 14,944.50 and 18,744.75

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Solution

The third proportional to 14,944.50 and 18,744.75 is: 23,511.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,944.50 : 18,744.75 = 18,744.75 : x
  2. Step 2: Convert to fraction form
    14,944.50/18,744.75 = 18,744.75/x
  3. Step 3: Cross multiply
    14,944.50x = 18,744.75 × 18,744.75
  4. Step 4: Simplify right side
    14,944.50x = 351,365,652.56
  5. Step 5: Solve for x
    x = 351,365,652.56/14,944.50
  6. Step 6: Final answer
    x = 23,511.37

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.