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Finding the Third Proportional to 49,242.75 and 73,845

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Solution

The third proportional to 49,242.75 and 73,845 is: 110,738.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,242.75 : 73,845 = 73,845 : x
  2. Step 2: Convert to fraction form
    49,242.75/73,845 = 73,845/x
  3. Step 3: Cross multiply
    49,242.75x = 73,845 × 73,845
  4. Step 4: Simplify right side
    49,242.75x = 5,453,084,025
  5. Step 5: Solve for x
    x = 5,453,084,025/49,242.75
  6. Step 6: Final answer
    x = 110,738.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.