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Finding the Third Proportional to 7,704 and 12,672

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Solution

The third proportional to 7,704 and 12,672 is: 20,843.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704 : 12,672 = 12,672 : x
  2. Step 2: Convert to fraction form
    7,704/12,672 = 12,672/x
  3. Step 3: Cross multiply
    7,704x = 12,672 × 12,672
  4. Step 4: Simplify right side
    7,704x = 160,579,584
  5. Step 5: Solve for x
    x = 160,579,584/7,704
  6. Step 6: Final answer
    x = 20,843.66

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.