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Finding the Third Proportional to 6,576.75 and 8,542.13

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Solution

The third proportional to 6,576.75 and 8,542.13 is: 11,094.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.75 : 8,542.13 = 8,542.13 : x
  2. Step 2: Convert to fraction form
    6,576.75/8,542.13 = 8,542.13/x
  3. Step 3: Cross multiply
    6,576.75x = 8,542.13 × 8,542.13
  4. Step 4: Simplify right side
    6,576.75x = 72,967,899.52
  5. Step 5: Solve for x
    x = 72,967,899.52/6,576.75
  6. Step 6: Final answer
    x = 11,094.83

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.