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Finding the Third Proportional to 1,682 and 3,518

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Solution

The third proportional to 1,682 and 3,518 is: 7,358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682 : 3,518 = 3,518 : x
  2. Step 2: Convert to fraction form
    1,682/3,518 = 3,518/x
  3. Step 3: Cross multiply
    1,682x = 3,518 × 3,518
  4. Step 4: Simplify right side
    1,682x = 12,376,324
  5. Step 5: Solve for x
    x = 12,376,324/1,682
  6. Step 6: Final answer
    x = 7,358.10

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.