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Finding the Third Proportional to 2,099.67 and 3,341.67

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Solution

The third proportional to 2,099.67 and 3,341.67 is: 5,318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.67 : 3,341.67 = 3,341.67 : x
  2. Step 2: Convert to fraction form
    2,099.67/3,341.67 = 3,341.67/x
  3. Step 3: Cross multiply
    2,099.67x = 3,341.67 × 3,341.67
  4. Step 4: Simplify right side
    2,099.67x = 11,166,770.92
  5. Step 5: Solve for x
    x = 11,166,770.92/2,099.67
  6. Step 6: Final answer
    x = 5,318.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.