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Finding the Third Proportional to 8,120.25 and 17,474.06

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Solution

The third proportional to 8,120.25 and 17,474.06 is: 37,602.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,120.25 : 17,474.06 = 17,474.06 : x
  2. Step 2: Convert to fraction form
    8,120.25/17,474.06 = 17,474.06/x
  3. Step 3: Cross multiply
    8,120.25x = 17,474.06 × 17,474.06
  4. Step 4: Simplify right side
    8,120.25x = 305,342,860.25
  5. Step 5: Solve for x
    x = 305,342,860.25/8,120.25
  6. Step 6: Final answer
    x = 37,602.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.