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Finding the Third Proportional to 4,089.23 and 6,133.85

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Solution

The third proportional to 4,089.23 and 6,133.85 is: 9,200.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.23 : 6,133.85 = 6,133.85 : x
  2. Step 2: Convert to fraction form
    4,089.23/6,133.85 = 6,133.85/x
  3. Step 3: Cross multiply
    4,089.23x = 6,133.85 × 6,133.85
  4. Step 4: Simplify right side
    4,089.23x = 37,624,134.99
  5. Step 5: Solve for x
    x = 37,624,134.99/4,089.23
  6. Step 6: Final answer
    x = 9,200.78

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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.