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Finding the Third Proportional to 6,966 and 16,164

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Solution

The third proportional to 6,966 and 16,164 is: 37,507.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966 : 16,164 = 16,164 : x
  2. Step 2: Convert to fraction form
    6,966/16,164 = 16,164/x
  3. Step 3: Cross multiply
    6,966x = 16,164 × 16,164
  4. Step 4: Simplify right side
    6,966x = 261,274,896
  5. Step 5: Solve for x
    x = 261,274,896/6,966
  6. Step 6: Final answer
    x = 37,507.16

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.