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Finding the Third Proportional to 17,544.75 and 24,709.75

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Solution

The third proportional to 17,544.75 and 24,709.75 is: 34,800.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,544.75 : 24,709.75 = 24,709.75 : x
  2. Step 2: Convert to fraction form
    17,544.75/24,709.75 = 24,709.75/x
  3. Step 3: Cross multiply
    17,544.75x = 24,709.75 × 24,709.75
  4. Step 4: Simplify right side
    17,544.75x = 610,571,745.06
  5. Step 5: Solve for x
    x = 610,571,745.06/17,544.75
  6. Step 6: Final answer
    x = 34,800.82

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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.