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Finding the Third Proportional to 2,788.17 and 3,021.05

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Solution

The third proportional to 2,788.17 and 3,021.05 is: 3,273.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.17 : 3,021.05 = 3,021.05 : x
  2. Step 2: Convert to fraction form
    2,788.17/3,021.05 = 3,021.05/x
  3. Step 3: Cross multiply
    2,788.17x = 3,021.05 × 3,021.05
  4. Step 4: Simplify right side
    2,788.17x = 9,126,724.22
  5. Step 5: Solve for x
    x = 9,126,724.22/2,788.17
  6. Step 6: Final answer
    x = 3,273.37

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.