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Finding the Third Proportional to 30,204 and 66,390

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Solution

The third proportional to 30,204 and 66,390 is: 145,928.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,204 : 66,390 = 66,390 : x
  2. Step 2: Convert to fraction form
    30,204/66,390 = 66,390/x
  3. Step 3: Cross multiply
    30,204x = 66,390 × 66,390
  4. Step 4: Simplify right side
    30,204x = 4,407,632,100
  5. Step 5: Solve for x
    x = 4,407,632,100/30,204
  6. Step 6: Final answer
    x = 145,928.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.