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Finding the Third Proportional to 6,723.56 and 14,324.06

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Solution

The third proportional to 6,723.56 and 14,324.06 is: 30,516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,723.56 : 14,324.06 = 14,324.06 : x
  2. Step 2: Convert to fraction form
    6,723.56/14,324.06 = 14,324.06/x
  3. Step 3: Cross multiply
    6,723.56x = 14,324.06 × 14,324.06
  4. Step 4: Simplify right side
    6,723.56x = 205,178,766.50
  5. Step 5: Solve for x
    x = 205,178,766.50/6,723.56
  6. Step 6: Final answer
    x = 30,516.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.