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Finding the Third Proportional to 8,589.94 and 12,576.94

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Solution

The third proportional to 8,589.94 and 12,576.94 is: 18,414.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.94 : 12,576.94 = 12,576.94 : x
  2. Step 2: Convert to fraction form
    8,589.94/12,576.94 = 12,576.94/x
  3. Step 3: Cross multiply
    8,589.94x = 12,576.94 × 12,576.94
  4. Step 4: Simplify right side
    8,589.94x = 158,179,356.88
  5. Step 5: Solve for x
    x = 158,179,356.88/8,589.94
  6. Step 6: Final answer
    x = 18,414.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.