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Finding the Third Proportional to 8,322.75 and 18,149.06

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Solution

The third proportional to 8,322.75 and 18,149.06 is: 39,576.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.75 : 18,149.06 = 18,149.06 : x
  2. Step 2: Convert to fraction form
    8,322.75/18,149.06 = 18,149.06/x
  3. Step 3: Cross multiply
    8,322.75x = 18,149.06 × 18,149.06
  4. Step 4: Simplify right side
    8,322.75x = 329,388,469.63
  5. Step 5: Solve for x
    x = 329,388,469.63/8,322.75
  6. Step 6: Final answer
    x = 39,576.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.