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Finding the Third Proportional to 19,112 and 39,676

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Solution

The third proportional to 19,112 and 39,676 is: 82,366.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,112 : 39,676 = 39,676 : x
  2. Step 2: Convert to fraction form
    19,112/39,676 = 39,676/x
  3. Step 3: Cross multiply
    19,112x = 39,676 × 39,676
  4. Step 4: Simplify right side
    19,112x = 1,574,184,976
  5. Step 5: Solve for x
    x = 1,574,184,976/19,112
  6. Step 6: Final answer
    x = 82,366.31

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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.