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Finding the Third Proportional to 2,828.67 and 3,102.05

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Solution

The third proportional to 2,828.67 and 3,102.05 is: 3,401.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.67 : 3,102.05 = 3,102.05 : x
  2. Step 2: Convert to fraction form
    2,828.67/3,102.05 = 3,102.05/x
  3. Step 3: Cross multiply
    2,828.67x = 3,102.05 × 3,102.05
  4. Step 4: Simplify right side
    2,828.67x = 9,622,694.81
  5. Step 5: Solve for x
    x = 9,622,694.81/2,828.67
  6. Step 6: Final answer
    x = 3,401.84

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.