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Finding the Third Proportional to 2,679.33 and 4,096.20

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Solution

The third proportional to 2,679.33 and 4,096.20 is: 6,262.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.33 : 4,096.20 = 4,096.20 : x
  2. Step 2: Convert to fraction form
    2,679.33/4,096.20 = 4,096.20/x
  3. Step 3: Cross multiply
    2,679.33x = 4,096.20 × 4,096.20
  4. Step 4: Simplify right side
    2,679.33x = 16,778,816.04
  5. Step 5: Solve for x
    x = 16,778,816.04/2,679.33
  6. Step 6: Final answer
    x = 6,262.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.