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Finding the Third Proportional to 4,230.56 and 9,336.94

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Solution

The third proportional to 4,230.56 and 9,336.94 is: 20,606.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.56 : 9,336.94 = 9,336.94 : x
  2. Step 2: Convert to fraction form
    4,230.56/9,336.94 = 9,336.94/x
  3. Step 3: Cross multiply
    4,230.56x = 9,336.94 × 9,336.94
  4. Step 4: Simplify right side
    4,230.56x = 87,178,401.88
  5. Step 5: Solve for x
    x = 87,178,401.88/4,230.56
  6. Step 6: Final answer
    x = 20,606.81

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.