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Finding the Third Proportional to 1,701.84 and 3,694.78

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Solution

The third proportional to 1,701.84 and 3,694.78 is: 8,021.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.84 : 3,694.78 = 3,694.78 : x
  2. Step 2: Convert to fraction form
    1,701.84/3,694.78 = 3,694.78/x
  3. Step 3: Cross multiply
    1,701.84x = 3,694.78 × 3,694.78
  4. Step 4: Simplify right side
    1,701.84x = 13,651,408.49
  5. Step 5: Solve for x
    x = 13,651,408.49/1,701.84
  6. Step 6: Final answer
    x = 8,021.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.