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Finding the Third Proportional to 3,233.67 and 6,554.67

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Solution

The third proportional to 3,233.67 and 6,554.67 is: 13,286.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.67 : 6,554.67 = 6,554.67 : x
  2. Step 2: Convert to fraction form
    3,233.67/6,554.67 = 6,554.67/x
  3. Step 3: Cross multiply
    3,233.67x = 6,554.67 × 6,554.67
  4. Step 4: Simplify right side
    3,233.67x = 42,963,723.39
  5. Step 5: Solve for x
    x = 42,963,723.39/3,233.67
  6. Step 6: Final answer
    x = 13,286.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.