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Finding the Third Proportional to 3,984 and 10,086

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Solution

The third proportional to 3,984 and 10,086 is: 25,533.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984 : 10,086 = 10,086 : x
  2. Step 2: Convert to fraction form
    3,984/10,086 = 10,086/x
  3. Step 3: Cross multiply
    3,984x = 10,086 × 10,086
  4. Step 4: Simplify right side
    3,984x = 101,727,396
  5. Step 5: Solve for x
    x = 101,727,396/3,984
  6. Step 6: Final answer
    x = 25,533.98

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.