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Finding the Third Proportional to 27,190.50 and 55,845

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Solution

The third proportional to 27,190.50 and 55,845 is: 114,696.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,190.50 : 55,845 = 55,845 : x
  2. Step 2: Convert to fraction form
    27,190.50/55,845 = 55,845/x
  3. Step 3: Cross multiply
    27,190.50x = 55,845 × 55,845
  4. Step 4: Simplify right side
    27,190.50x = 3,118,664,025
  5. Step 5: Solve for x
    x = 3,118,664,025/27,190.50
  6. Step 6: Final answer
    x = 114,696.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.