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Finding the Third Proportional to 6,838 and 15,736

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Solution

The third proportional to 6,838 and 15,736 is: 36,212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838 : 15,736 = 15,736 : x
  2. Step 2: Convert to fraction form
    6,838/15,736 = 15,736/x
  3. Step 3: Cross multiply
    6,838x = 15,736 × 15,736
  4. Step 4: Simplify right side
    6,838x = 247,621,696
  5. Step 5: Solve for x
    x = 247,621,696/6,838
  6. Step 6: Final answer
    x = 36,212.59

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.