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Finding the Third Proportional to 3,957.26 and 7,330.67

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Solution

The third proportional to 3,957.26 and 7,330.67 is: 13,579.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.26 : 7,330.67 = 7,330.67 : x
  2. Step 2: Convert to fraction form
    3,957.26/7,330.67 = 7,330.67/x
  3. Step 3: Cross multiply
    3,957.26x = 7,330.67 × 7,330.67
  4. Step 4: Simplify right side
    3,957.26x = 53,738,694.66
  5. Step 5: Solve for x
    x = 53,738,694.66/3,957.26
  6. Step 6: Final answer
    x = 13,579.76

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.