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Finding the Third Proportional to 34,462 and 51,694

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Solution

The third proportional to 34,462 and 51,694 is: 77,542.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,462 : 51,694 = 51,694 : x
  2. Step 2: Convert to fraction form
    34,462/51,694 = 51,694/x
  3. Step 3: Cross multiply
    34,462x = 51,694 × 51,694
  4. Step 4: Simplify right side
    34,462x = 2,672,269,636
  5. Step 5: Solve for x
    x = 2,672,269,636/34,462
  6. Step 6: Final answer
    x = 77,542.50

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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.