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Finding the Third Proportional to 3,423.94 and 5,228.72

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Solution

The third proportional to 3,423.94 and 5,228.72 is: 7,984.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.94 : 5,228.72 = 5,228.72 : x
  2. Step 2: Convert to fraction form
    3,423.94/5,228.72 = 5,228.72/x
  3. Step 3: Cross multiply
    3,423.94x = 5,228.72 × 5,228.72
  4. Step 4: Simplify right side
    3,423.94x = 27,339,499.77
  5. Step 5: Solve for x
    x = 27,339,499.77/3,423.94
  6. Step 6: Final answer
    x = 7,984.81

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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.