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Finding the Third Proportional to 34,211 and 51,180

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Solution

The third proportional to 34,211 and 51,180 is: 76,565.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,211 : 51,180 = 51,180 : x
  2. Step 2: Convert to fraction form
    34,211/51,180 = 51,180/x
  3. Step 3: Cross multiply
    34,211x = 51,180 × 51,180
  4. Step 4: Simplify right side
    34,211x = 2,619,392,400
  5. Step 5: Solve for x
    x = 2,619,392,400/34,211
  6. Step 6: Final answer
    x = 76,565.79

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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.