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Finding the Third Proportional to 6,831 and 10,246

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Solution

The third proportional to 6,831 and 10,246 is: 15,368.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831 : 10,246 = 10,246 : x
  2. Step 2: Convert to fraction form
    6,831/10,246 = 10,246/x
  3. Step 3: Cross multiply
    6,831x = 10,246 × 10,246
  4. Step 4: Simplify right side
    6,831x = 104,980,516
  5. Step 5: Solve for x
    x = 104,980,516/6,831
  6. Step 6: Final answer
    x = 15,368.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.