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Finding the Third Proportional to 3,241.69 and 7,025.91

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Solution

The third proportional to 3,241.69 and 7,025.91 is: 15,227.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.69 : 7,025.91 = 7,025.91 : x
  2. Step 2: Convert to fraction form
    3,241.69/7,025.91 = 7,025.91/x
  3. Step 3: Cross multiply
    3,241.69x = 7,025.91 × 7,025.91
  4. Step 4: Simplify right side
    3,241.69x = 49,363,358.63
  5. Step 5: Solve for x
    x = 49,363,358.63/3,241.69
  6. Step 6: Final answer
    x = 15,227.67

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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.