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Finding the Third Proportional to 3,559.57 and 8,483.17

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Solution

The third proportional to 3,559.57 and 8,483.17 is: 20,217.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,559.57 : 8,483.17 = 8,483.17 : x
  2. Step 2: Convert to fraction form
    3,559.57/8,483.17 = 8,483.17/x
  3. Step 3: Cross multiply
    3,559.57x = 8,483.17 × 8,483.17
  4. Step 4: Simplify right side
    3,559.57x = 71,964,138.79
  5. Step 5: Solve for x
    x = 71,964,138.79/3,559.57
  6. Step 6: Final answer
    x = 20,217.09

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.