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Finding the Third Proportional to 3,679.17 and 5,694.05

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Solution

The third proportional to 3,679.17 and 5,694.05 is: 8,812.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.17 : 5,694.05 = 5,694.05 : x
  2. Step 2: Convert to fraction form
    3,679.17/5,694.05 = 5,694.05/x
  3. Step 3: Cross multiply
    3,679.17x = 5,694.05 × 5,694.05
  4. Step 4: Simplify right side
    3,679.17x = 32,422,169.81
  5. Step 5: Solve for x
    x = 32,422,169.81/3,679.17
  6. Step 6: Final answer
    x = 8,812.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.