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Finding the Third Proportional to 3,310.88 and 7,274.81

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Solution

The third proportional to 3,310.88 and 7,274.81 is: 15,984.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.88 : 7,274.81 = 7,274.81 : x
  2. Step 2: Convert to fraction form
    3,310.88/7,274.81 = 7,274.81/x
  3. Step 3: Cross multiply
    3,310.88x = 7,274.81 × 7,274.81
  4. Step 4: Simplify right side
    3,310.88x = 52,922,896.91
  5. Step 5: Solve for x
    x = 52,922,896.91/3,310.88
  6. Step 6: Final answer
    x = 15,984.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.