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Finding the Third Proportional to 7,638 and 16,164

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Solution

The third proportional to 7,638 and 16,164 is: 34,207.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638 : 16,164 = 16,164 : x
  2. Step 2: Convert to fraction form
    7,638/16,164 = 16,164/x
  3. Step 3: Cross multiply
    7,638x = 16,164 × 16,164
  4. Step 4: Simplify right side
    7,638x = 261,274,896
  5. Step 5: Solve for x
    x = 261,274,896/7,638
  6. Step 6: Final answer
    x = 34,207.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.