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Finding the Third Proportional to 17,601.75 and 31,299.75

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Solution

The third proportional to 17,601.75 and 31,299.75 is: 55,657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,601.75 : 31,299.75 = 31,299.75 : x
  2. Step 2: Convert to fraction form
    17,601.75/31,299.75 = 31,299.75/x
  3. Step 3: Cross multiply
    17,601.75x = 31,299.75 × 31,299.75
  4. Step 4: Simplify right side
    17,601.75x = 979,674,350.06
  5. Step 5: Solve for x
    x = 979,674,350.06/17,601.75
  6. Step 6: Final answer
    x = 55,657.78

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.