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Finding the Third Proportional to 34,027 and 51,074

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Solution

The third proportional to 34,027 and 51,074 is: 76,661.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,027 : 51,074 = 51,074 : x
  2. Step 2: Convert to fraction form
    34,027/51,074 = 51,074/x
  3. Step 3: Cross multiply
    34,027x = 51,074 × 51,074
  4. Step 4: Simplify right side
    34,027x = 2,608,553,476
  5. Step 5: Solve for x
    x = 2,608,553,476/34,027
  6. Step 6: Final answer
    x = 76,661.28

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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.