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Finding the Third Proportional to 1,806.05 and 3,880.41

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Solution

The third proportional to 1,806.05 and 3,880.41 is: 8,337.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.05 : 3,880.41 = 3,880.41 : x
  2. Step 2: Convert to fraction form
    1,806.05/3,880.41 = 3,880.41/x
  3. Step 3: Cross multiply
    1,806.05x = 3,880.41 × 3,880.41
  4. Step 4: Simplify right side
    1,806.05x = 15,057,552.67
  5. Step 5: Solve for x
    x = 15,057,552.67/1,806.05
  6. Step 6: Final answer
    x = 8,337.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.