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Finding the Third Proportional to 4,219 and 9,086

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Solution

The third proportional to 4,219 and 9,086 is: 19,567.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219 : 9,086 = 9,086 : x
  2. Step 2: Convert to fraction form
    4,219/9,086 = 9,086/x
  3. Step 3: Cross multiply
    4,219x = 9,086 × 9,086
  4. Step 4: Simplify right side
    4,219x = 82,555,396
  5. Step 5: Solve for x
    x = 82,555,396/4,219
  6. Step 6: Final answer
    x = 19,567.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.