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Finding the Third Proportional to 6,846 and 7,458

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Solution

The third proportional to 6,846 and 7,458 is: 8,124.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846 : 7,458 = 7,458 : x
  2. Step 2: Convert to fraction form
    6,846/7,458 = 7,458/x
  3. Step 3: Cross multiply
    6,846x = 7,458 × 7,458
  4. Step 4: Simplify right side
    6,846x = 55,621,764
  5. Step 5: Solve for x
    x = 55,621,764/6,846
  6. Step 6: Final answer
    x = 8,124.71

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.