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Finding the Third Proportional to 3,546.70 and 7,634.67

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Solution

The third proportional to 3,546.70 and 7,634.67 is: 16,434.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.70 : 7,634.67 = 7,634.67 : x
  2. Step 2: Convert to fraction form
    3,546.70/7,634.67 = 7,634.67/x
  3. Step 3: Cross multiply
    3,546.70x = 7,634.67 × 7,634.67
  4. Step 4: Simplify right side
    3,546.70x = 58,288,214.64
  5. Step 5: Solve for x
    x = 58,288,214.64/3,546.70
  6. Step 6: Final answer
    x = 16,434.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.