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Finding the Third Proportional to 19,204 and 39,738

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Solution

The third proportional to 19,204 and 39,738 is: 82,228.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,204 : 39,738 = 39,738 : x
  2. Step 2: Convert to fraction form
    19,204/39,738 = 39,738/x
  3. Step 3: Cross multiply
    19,204x = 39,738 × 39,738
  4. Step 4: Simplify right side
    19,204x = 1,579,108,644
  5. Step 5: Solve for x
    x = 1,579,108,644/19,204
  6. Step 6: Final answer
    x = 82,228.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.