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Finding the Third Proportional to 3,274.80 and 7,067.88

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Solution

The third proportional to 3,274.80 and 7,067.88 is: 15,254.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.80 : 7,067.88 = 7,067.88 : x
  2. Step 2: Convert to fraction form
    3,274.80/7,067.88 = 7,067.88/x
  3. Step 3: Cross multiply
    3,274.80x = 7,067.88 × 7,067.88
  4. Step 4: Simplify right side
    3,274.80x = 49,954,967.45
  5. Step 5: Solve for x
    x = 49,954,967.45/3,274.80
  6. Step 6: Final answer
    x = 15,254.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.