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Finding the Third Proportional to 34,032 and 51,794

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Solution

The third proportional to 34,032 and 51,794 is: 78,826.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,032 : 51,794 = 51,794 : x
  2. Step 2: Convert to fraction form
    34,032/51,794 = 51,794/x
  3. Step 3: Cross multiply
    34,032x = 51,794 × 51,794
  4. Step 4: Simplify right side
    34,032x = 2,682,618,436
  5. Step 5: Solve for x
    x = 2,682,618,436/34,032
  6. Step 6: Final answer
    x = 78,826.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.