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Finding the Third Proportional to 19,086 and 39,266

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Solution

The third proportional to 19,086 and 39,266 is: 80,782.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,086 : 39,266 = 39,266 : x
  2. Step 2: Convert to fraction form
    19,086/39,266 = 39,266/x
  3. Step 3: Cross multiply
    19,086x = 39,266 × 39,266
  4. Step 4: Simplify right side
    19,086x = 1,541,818,756
  5. Step 5: Solve for x
    x = 1,541,818,756/19,086
  6. Step 6: Final answer
    x = 80,782.71

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.