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Finding the Third Proportional to 4,449.94 and 9,027.70

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Solution

The third proportional to 4,449.94 and 9,027.70 is: 18,314.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,449.94 : 9,027.70 = 9,027.70 : x
  2. Step 2: Convert to fraction form
    4,449.94/9,027.70 = 9,027.70/x
  3. Step 3: Cross multiply
    4,449.94x = 9,027.70 × 9,027.70
  4. Step 4: Simplify right side
    4,449.94x = 81,499,423.71
  5. Step 5: Solve for x
    x = 81,499,423.71/4,449.94
  6. Step 6: Final answer
    x = 18,314.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.