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Finding the Third Proportional to 3,326.06 and 4,723.31

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Solution

The third proportional to 3,326.06 and 4,723.31 is: 6,707.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,326.06 : 4,723.31 = 4,723.31 : x
  2. Step 2: Convert to fraction form
    3,326.06/4,723.31 = 4,723.31/x
  3. Step 3: Cross multiply
    3,326.06x = 4,723.31 × 4,723.31
  4. Step 4: Simplify right side
    3,326.06x = 22,309,680.97
  5. Step 5: Solve for x
    x = 22,309,680.97/3,326.06
  6. Step 6: Final answer
    x = 6,707.54

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.