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Finding the Third Proportional to 6,996 and 16,086

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Solution

The third proportional to 6,996 and 16,086 is: 36,986.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996 : 16,086 = 16,086 : x
  2. Step 2: Convert to fraction form
    6,996/16,086 = 16,086/x
  3. Step 3: Cross multiply
    6,996x = 16,086 × 16,086
  4. Step 4: Simplify right side
    6,996x = 258,759,396
  5. Step 5: Solve for x
    x = 258,759,396/6,996
  6. Step 6: Final answer
    x = 36,986.76

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.