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Finding the Third Proportional to 5,443.03 and 8,143.45

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Solution

The third proportional to 5,443.03 and 8,143.45 is: 12,183.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,443.03 : 8,143.45 = 8,143.45 : x
  2. Step 2: Convert to fraction form
    5,443.03/8,143.45 = 8,143.45/x
  3. Step 3: Cross multiply
    5,443.03x = 8,143.45 × 8,143.45
  4. Step 4: Simplify right side
    5,443.03x = 66,315,828.80
  5. Step 5: Solve for x
    x = 66,315,828.80/5,443.03
  6. Step 6: Final answer
    x = 12,183.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.