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Finding the Third Proportional to 26,950 and 56,694

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Solution

The third proportional to 26,950 and 56,694 is: 119,265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,950 : 56,694 = 56,694 : x
  2. Step 2: Convert to fraction form
    26,950/56,694 = 56,694/x
  3. Step 3: Cross multiply
    26,950x = 56,694 × 56,694
  4. Step 4: Simplify right side
    26,950x = 3,214,209,636
  5. Step 5: Solve for x
    x = 3,214,209,636/26,950
  6. Step 6: Final answer
    x = 119,265.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.