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Finding the Third Proportional to 6,848 and 7,376

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Solution

The third proportional to 6,848 and 7,376 is: 7,944.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848 : 7,376 = 7,376 : x
  2. Step 2: Convert to fraction form
    6,848/7,376 = 7,376/x
  3. Step 3: Cross multiply
    6,848x = 7,376 × 7,376
  4. Step 4: Simplify right side
    6,848x = 54,405,376
  5. Step 5: Solve for x
    x = 54,405,376/6,848
  6. Step 6: Final answer
    x = 7,944.71

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.