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Finding the Third Proportional to 6,786 and 10,794.75

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Solution

The third proportional to 6,786 and 10,794.75 is: 17,171.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786 : 10,794.75 = 10,794.75 : x
  2. Step 2: Convert to fraction form
    6,786/10,794.75 = 10,794.75/x
  3. Step 3: Cross multiply
    6,786x = 10,794.75 × 10,794.75
  4. Step 4: Simplify right side
    6,786x = 116,526,627.56
  5. Step 5: Solve for x
    x = 116,526,627.56/6,786
  6. Step 6: Final answer
    x = 17,171.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.