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Finding the Third Proportional to 3,180 and 4,682

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Solution

The third proportional to 3,180 and 4,682 is: 6,893.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180 : 4,682 = 4,682 : x
  2. Step 2: Convert to fraction form
    3,180/4,682 = 4,682/x
  3. Step 3: Cross multiply
    3,180x = 4,682 × 4,682
  4. Step 4: Simplify right side
    3,180x = 21,921,124
  5. Step 5: Solve for x
    x = 21,921,124/3,180
  6. Step 6: Final answer
    x = 6,893.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.