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Finding the Third Proportional to 3,229.88 and 7,094.63

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Solution

The third proportional to 3,229.88 and 7,094.63 is: 15,583.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.88 : 7,094.63 = 7,094.63 : x
  2. Step 2: Convert to fraction form
    3,229.88/7,094.63 = 7,094.63/x
  3. Step 3: Cross multiply
    3,229.88x = 7,094.63 × 7,094.63
  4. Step 4: Simplify right side
    3,229.88x = 50,333,703.89
  5. Step 5: Solve for x
    x = 50,333,703.89/3,229.88
  6. Step 6: Final answer
    x = 15,583.79

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.