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Finding the Third Proportional to 3,467.25 and 8,546.63

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Solution

The third proportional to 3,467.25 and 8,546.63 is: 21,067.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.25 : 8,546.63 = 8,546.63 : x
  2. Step 2: Convert to fraction form
    3,467.25/8,546.63 = 8,546.63/x
  3. Step 3: Cross multiply
    3,467.25x = 8,546.63 × 8,546.63
  4. Step 4: Simplify right side
    3,467.25x = 73,044,798.89
  5. Step 5: Solve for x
    x = 73,044,798.89/3,467.25
  6. Step 6: Final answer
    x = 21,067.07

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.