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Finding the Third Proportional to 3,703.25 and 8,021.63

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Solution

The third proportional to 3,703.25 and 8,021.63 is: 17,375.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.25 : 8,021.63 = 8,021.63 : x
  2. Step 2: Convert to fraction form
    3,703.25/8,021.63 = 8,021.63/x
  3. Step 3: Cross multiply
    3,703.25x = 8,021.63 × 8,021.63
  4. Step 4: Simplify right side
    3,703.25x = 64,346,467.64
  5. Step 5: Solve for x
    x = 64,346,467.64/3,703.25
  6. Step 6: Final answer
    x = 17,375.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.