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Finding the Third Proportional to 3,204.75 and 3,447.75

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Solution

The third proportional to 3,204.75 and 3,447.75 is: 3,709.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.75 : 3,447.75 = 3,447.75 : x
  2. Step 2: Convert to fraction form
    3,204.75/3,447.75 = 3,447.75/x
  3. Step 3: Cross multiply
    3,204.75x = 3,447.75 × 3,447.75
  4. Step 4: Simplify right side
    3,204.75x = 11,886,980.06
  5. Step 5: Solve for x
    x = 11,886,980.06/3,204.75
  6. Step 6: Final answer
    x = 3,709.18

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.