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Finding the Third Proportional to 3,021.68 and 6,273.07

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Solution

The third proportional to 3,021.68 and 6,273.07 is: 13,023.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.68 : 6,273.07 = 6,273.07 : x
  2. Step 2: Convert to fraction form
    3,021.68/6,273.07 = 6,273.07/x
  3. Step 3: Cross multiply
    3,021.68x = 6,273.07 × 6,273.07
  4. Step 4: Simplify right side
    3,021.68x = 39,351,411.15
  5. Step 5: Solve for x
    x = 39,351,411.15/3,021.68
  6. Step 6: Final answer
    x = 13,023.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.