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Finding the Third Proportional to 1,694 and 3,106.75

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Solution

The third proportional to 1,694 and 3,106.75 is: 5,697.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694 : 3,106.75 = 3,106.75 : x
  2. Step 2: Convert to fraction form
    1,694/3,106.75 = 3,106.75/x
  3. Step 3: Cross multiply
    1,694x = 3,106.75 × 3,106.75
  4. Step 4: Simplify right side
    1,694x = 9,651,895.56
  5. Step 5: Solve for x
    x = 9,651,895.56/1,694
  6. Step 6: Final answer
    x = 5,697.70

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.