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Finding the Third Proportional to 3,609.40 and 5,441.87

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Solution

The third proportional to 3,609.40 and 5,441.87 is: 8,204.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.40 : 5,441.87 = 5,441.87 : x
  2. Step 2: Convert to fraction form
    3,609.40/5,441.87 = 5,441.87/x
  3. Step 3: Cross multiply
    3,609.40x = 5,441.87 × 5,441.87
  4. Step 4: Simplify right side
    3,609.40x = 29,613,961.00
  5. Step 5: Solve for x
    x = 29,613,961.00/3,609.40
  6. Step 6: Final answer
    x = 8,204.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.