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Finding the Third Proportional to 17,889.75 and 41,586.19

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Solution

The third proportional to 17,889.75 and 41,586.19 is: 96,670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,889.75 : 41,586.19 = 41,586.19 : x
  2. Step 2: Convert to fraction form
    17,889.75/41,586.19 = 41,586.19/x
  3. Step 3: Cross multiply
    17,889.75x = 41,586.19 × 41,586.19
  4. Step 4: Simplify right side
    17,889.75x = 1,729,410,990.79
  5. Step 5: Solve for x
    x = 1,729,410,990.79/17,889.75
  6. Step 6: Final answer
    x = 96,670.50

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.