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Finding the Third Proportional to 3,423.52 and 5,227.03

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Solution

The third proportional to 3,423.52 and 5,227.03 is: 7,980.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.52 : 5,227.03 = 5,227.03 : x
  2. Step 2: Convert to fraction form
    3,423.52/5,227.03 = 5,227.03/x
  3. Step 3: Cross multiply
    3,423.52x = 5,227.03 × 5,227.03
  4. Step 4: Simplify right side
    3,423.52x = 27,321,855.69
  5. Step 5: Solve for x
    x = 27,321,855.69/3,423.52
  6. Step 6: Final answer
    x = 7,980.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.