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Finding the Third Proportional to 6,850.75 and 10,276.19

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Solution

The third proportional to 6,850.75 and 10,276.19 is: 15,414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.75 : 10,276.19 = 10,276.19 : x
  2. Step 2: Convert to fraction form
    6,850.75/10,276.19 = 10,276.19/x
  3. Step 3: Cross multiply
    6,850.75x = 10,276.19 × 10,276.19
  4. Step 4: Simplify right side
    6,850.75x = 105,600,029.54
  5. Step 5: Solve for x
    x = 105,600,029.54/6,850.75
  6. Step 6: Final answer
    x = 15,414.38

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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.