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Finding the Third Proportional to 6,723.32 and 7,338.41

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Solution

The third proportional to 6,723.32 and 7,338.41 is: 8,009.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,723.32 : 7,338.41 = 7,338.41 : x
  2. Step 2: Convert to fraction form
    6,723.32/7,338.41 = 7,338.41/x
  3. Step 3: Cross multiply
    6,723.32x = 7,338.41 × 7,338.41
  4. Step 4: Simplify right side
    6,723.32x = 53,852,263.62
  5. Step 5: Solve for x
    x = 53,852,263.62/6,723.32
  6. Step 6: Final answer
    x = 8,009.78

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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.