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Finding the Third Proportional to 3,230.84 and 4,449.02

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Solution

The third proportional to 3,230.84 and 4,449.02 is: 6,126.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.84 : 4,449.02 = 4,449.02 : x
  2. Step 2: Convert to fraction form
    3,230.84/4,449.02 = 4,449.02/x
  3. Step 3: Cross multiply
    3,230.84x = 4,449.02 × 4,449.02
  4. Step 4: Simplify right side
    3,230.84x = 19,793,760.67
  5. Step 5: Solve for x
    x = 19,793,760.67/3,230.84
  6. Step 6: Final answer
    x = 6,126.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.