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Finding the Third Proportional to 6,816 and 12,800

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Solution

The third proportional to 6,816 and 12,800 is: 24,037.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816 : 12,800 = 12,800 : x
  2. Step 2: Convert to fraction form
    6,816/12,800 = 12,800/x
  3. Step 3: Cross multiply
    6,816x = 12,800 × 12,800
  4. Step 4: Simplify right side
    6,816x = 163,840,000
  5. Step 5: Solve for x
    x = 163,840,000/6,816
  6. Step 6: Final answer
    x = 24,037.56

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.