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Finding the Third Proportional to 2,983.36 and 4,474.41

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Solution

The third proportional to 2,983.36 and 4,474.41 is: 6,710.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.36 : 4,474.41 = 4,474.41 : x
  2. Step 2: Convert to fraction form
    2,983.36/4,474.41 = 4,474.41/x
  3. Step 3: Cross multiply
    2,983.36x = 4,474.41 × 4,474.41
  4. Step 4: Simplify right side
    2,983.36x = 20,020,311.29
  5. Step 5: Solve for x
    x = 20,020,311.29/2,983.36
  6. Step 6: Final answer
    x = 6,710.66

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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.