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Finding the Third Proportional to 3,204.56 and 6,664.22

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Solution

The third proportional to 3,204.56 and 6,664.22 is: 13,858.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.56 : 6,664.22 = 6,664.22 : x
  2. Step 2: Convert to fraction form
    3,204.56/6,664.22 = 6,664.22/x
  3. Step 3: Cross multiply
    3,204.56x = 6,664.22 × 6,664.22
  4. Step 4: Simplify right side
    3,204.56x = 44,411,811.55
  5. Step 5: Solve for x
    x = 44,411,811.55/3,204.56
  6. Step 6: Final answer
    x = 13,858.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.