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Finding the Third Proportional to 4,449.94 and 5,990.20

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Solution

The third proportional to 4,449.94 and 5,990.20 is: 8,063.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,449.94 : 5,990.20 = 5,990.20 : x
  2. Step 2: Convert to fraction form
    4,449.94/5,990.20 = 5,990.20/x
  3. Step 3: Cross multiply
    4,449.94x = 5,990.20 × 5,990.20
  4. Step 4: Simplify right side
    4,449.94x = 35,882,533.48
  5. Step 5: Solve for x
    x = 35,882,533.48/4,449.94
  6. Step 6: Final answer
    x = 8,063.60

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.