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Finding the Third Proportional to 30,774.75 and 50,247.75

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Solution

The third proportional to 30,774.75 and 50,247.75 is: 82,042.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,774.75 : 50,247.75 = 50,247.75 : x
  2. Step 2: Convert to fraction form
    30,774.75/50,247.75 = 50,247.75/x
  3. Step 3: Cross multiply
    30,774.75x = 50,247.75 × 50,247.75
  4. Step 4: Simplify right side
    30,774.75x = 2,524,836,380.06
  5. Step 5: Solve for x
    x = 2,524,836,380.06/30,774.75
  6. Step 6: Final answer
    x = 82,042.47

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.