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Finding the Third Proportional to 3,234.94 and 3,546.28

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Solution

The third proportional to 3,234.94 and 3,546.28 is: 3,887.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.94 : 3,546.28 = 3,546.28 : x
  2. Step 2: Convert to fraction form
    3,234.94/3,546.28 = 3,546.28/x
  3. Step 3: Cross multiply
    3,234.94x = 3,546.28 × 3,546.28
  4. Step 4: Simplify right side
    3,234.94x = 12,576,110.70
  5. Step 5: Solve for x
    x = 12,576,110.70/3,234.94
  6. Step 6: Final answer
    x = 3,887.59

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.