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Finding the Third Proportional to 5,982 and 7,086

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Solution

The third proportional to 5,982 and 7,086 is: 8,393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982 : 7,086 = 7,086 : x
  2. Step 2: Convert to fraction form
    5,982/7,086 = 7,086/x
  3. Step 3: Cross multiply
    5,982x = 7,086 × 7,086
  4. Step 4: Simplify right side
    5,982x = 50,211,396
  5. Step 5: Solve for x
    x = 50,211,396/5,982
  6. Step 6: Final answer
    x = 8,393.75

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.