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Finding the Third Proportional to 3,091.45 and 7,290.37

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Solution

The third proportional to 3,091.45 and 7,290.37 is: 17,192.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.45 : 7,290.37 = 7,290.37 : x
  2. Step 2: Convert to fraction form
    3,091.45/7,290.37 = 7,290.37/x
  3. Step 3: Cross multiply
    3,091.45x = 7,290.37 × 7,290.37
  4. Step 4: Simplify right side
    3,091.45x = 53,149,453.73
  5. Step 5: Solve for x
    x = 53,149,453.73/3,091.45
  6. Step 6: Final answer
    x = 17,192.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.