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Finding the Third Proportional to 3,403.69 and 8,321.06

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Solution

The third proportional to 3,403.69 and 8,321.06 is: 20,342.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.69 : 8,321.06 = 8,321.06 : x
  2. Step 2: Convert to fraction form
    3,403.69/8,321.06 = 8,321.06/x
  3. Step 3: Cross multiply
    3,403.69x = 8,321.06 × 8,321.06
  4. Step 4: Simplify right side
    3,403.69x = 69,240,081.13
  5. Step 5: Solve for x
    x = 69,240,081.13/3,403.69
  6. Step 6: Final answer
    x = 20,342.67

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.