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Finding the Third Proportional to 1,685 and 3,682

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Solution

The third proportional to 1,685 and 3,682 is: 8,045.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685 : 3,682 = 3,682 : x
  2. Step 2: Convert to fraction form
    1,685/3,682 = 3,682/x
  3. Step 3: Cross multiply
    1,685x = 3,682 × 3,682
  4. Step 4: Simplify right side
    1,685x = 13,557,124
  5. Step 5: Solve for x
    x = 13,557,124/1,685
  6. Step 6: Final answer
    x = 8,045.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.