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Finding the Third Proportional to 7,576.03 and 17,695.97

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Solution

The third proportional to 7,576.03 and 17,695.97 is: 41,333.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,576.03 : 17,695.97 = 17,695.97 : x
  2. Step 2: Convert to fraction form
    7,576.03/17,695.97 = 17,695.97/x
  3. Step 3: Cross multiply
    7,576.03x = 17,695.97 × 17,695.97
  4. Step 4: Simplify right side
    7,576.03x = 313,147,310.00
  5. Step 5: Solve for x
    x = 313,147,310.00/7,576.03
  6. Step 6: Final answer
    x = 41,333.95

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.