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Finding the Third Proportional to 19,831 and 41,306

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Solution

The third proportional to 19,831 and 41,306 is: 86,036.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,831 : 41,306 = 41,306 : x
  2. Step 2: Convert to fraction form
    19,831/41,306 = 41,306/x
  3. Step 3: Cross multiply
    19,831x = 41,306 × 41,306
  4. Step 4: Simplify right side
    19,831x = 1,706,185,636
  5. Step 5: Solve for x
    x = 1,706,185,636/19,831
  6. Step 6: Final answer
    x = 86,036.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.