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Finding the Third Proportional to 34,204 and 51,760

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Solution

The third proportional to 34,204 and 51,760 is: 78,327.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,204 : 51,760 = 51,760 : x
  2. Step 2: Convert to fraction form
    34,204/51,760 = 51,760/x
  3. Step 3: Cross multiply
    34,204x = 51,760 × 51,760
  4. Step 4: Simplify right side
    34,204x = 2,679,097,600
  5. Step 5: Solve for x
    x = 2,679,097,600/34,204
  6. Step 6: Final answer
    x = 78,327.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.