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Finding the Third Proportional to 7,512.75 and 16,067.74

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Solution

The third proportional to 7,512.75 and 16,067.74 is: 34,364.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,512.75 : 16,067.74 = 16,067.74 : x
  2. Step 2: Convert to fraction form
    7,512.75/16,067.74 = 16,067.74/x
  3. Step 3: Cross multiply
    7,512.75x = 16,067.74 × 16,067.74
  4. Step 4: Simplify right side
    7,512.75x = 258,172,339.00
  5. Step 5: Solve for x
    x = 258,172,339.00/7,512.75
  6. Step 6: Final answer
    x = 34,364.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.