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Finding the Third Proportional to 1,449.46 and 3,180.83

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Solution

The third proportional to 1,449.46 and 3,180.83 is: 6,980.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.46 : 3,180.83 = 3,180.83 : x
  2. Step 2: Convert to fraction form
    1,449.46/3,180.83 = 3,180.83/x
  3. Step 3: Cross multiply
    1,449.46x = 3,180.83 × 3,180.83
  4. Step 4: Simplify right side
    1,449.46x = 10,117,692.41
  5. Step 5: Solve for x
    x = 10,117,692.41/1,449.46
  6. Step 6: Final answer
    x = 6,980.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.