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Finding the Third Proportional to 3,230.30 and 7,094.67

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Solution

The third proportional to 3,230.30 and 7,094.67 is: 15,581.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.30 : 7,094.67 = 7,094.67 : x
  2. Step 2: Convert to fraction form
    3,230.30/7,094.67 = 7,094.67/x
  3. Step 3: Cross multiply
    3,230.30x = 7,094.67 × 7,094.67
  4. Step 4: Simplify right side
    3,230.30x = 50,334,369.01
  5. Step 5: Solve for x
    x = 50,334,369.01/3,230.30
  6. Step 6: Final answer
    x = 15,581.96

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Why These Related Problems?

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