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Finding the Third Proportional to 8,251.94 and 17,672.47

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Solution

The third proportional to 8,251.94 and 17,672.47 is: 37,847.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.94 : 17,672.47 = 17,672.47 : x
  2. Step 2: Convert to fraction form
    8,251.94/17,672.47 = 17,672.47/x
  3. Step 3: Cross multiply
    8,251.94x = 17,672.47 × 17,672.47
  4. Step 4: Simplify right side
    8,251.94x = 312,316,151.72
  5. Step 5: Solve for x
    x = 312,316,151.72/8,251.94
  6. Step 6: Final answer
    x = 37,847.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.