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Finding the Third Proportional to 6,812 and 14,164

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Solution

The third proportional to 6,812 and 14,164 is: 29,450.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812 : 14,164 = 14,164 : x
  2. Step 2: Convert to fraction form
    6,812/14,164 = 14,164/x
  3. Step 3: Cross multiply
    6,812x = 14,164 × 14,164
  4. Step 4: Simplify right side
    6,812x = 200,618,896
  5. Step 5: Solve for x
    x = 200,618,896/6,812
  6. Step 6: Final answer
    x = 29,450.81

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1.5x scale

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.