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Finding the Third Proportional to 4,682 and 7,042

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Solution

The third proportional to 4,682 and 7,042 is: 10,591.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682 : 7,042 = 7,042 : x
  2. Step 2: Convert to fraction form
    4,682/7,042 = 7,042/x
  3. Step 3: Cross multiply
    4,682x = 7,042 × 7,042
  4. Step 4: Simplify right side
    4,682x = 49,589,764
  5. Step 5: Solve for x
    x = 49,589,764/4,682
  6. Step 6: Final answer
    x = 10,591.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.