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Finding the Third Proportional to 19,013 and 39,238

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Solution

The third proportional to 19,013 and 39,238 is: 80,977.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,013 : 39,238 = 39,238 : x
  2. Step 2: Convert to fraction form
    19,013/39,238 = 39,238/x
  3. Step 3: Cross multiply
    19,013x = 39,238 × 39,238
  4. Step 4: Simplify right side
    19,013x = 1,539,620,644
  5. Step 5: Solve for x
    x = 1,539,620,644/19,013
  6. Step 6: Final answer
    x = 80,977.26

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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.