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Finding the Third Proportional to 6,935.91 and 10,576.97

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Solution

The third proportional to 6,935.91 and 10,576.97 is: 16,129.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.91 : 10,576.97 = 10,576.97 : x
  2. Step 2: Convert to fraction form
    6,935.91/10,576.97 = 10,576.97/x
  3. Step 3: Cross multiply
    6,935.91x = 10,576.97 × 10,576.97
  4. Step 4: Simplify right side
    6,935.91x = 111,872,267.94
  5. Step 5: Solve for x
    x = 111,872,267.94/6,935.91
  6. Step 6: Final answer
    x = 16,129.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.