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Finding the Third Proportional to 8,511.75 and 18,037.27

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Solution

The third proportional to 8,511.75 and 18,037.27 is: 38,222.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.75 : 18,037.27 = 18,037.27 : x
  2. Step 2: Convert to fraction form
    8,511.75/18,037.27 = 18,037.27/x
  3. Step 3: Cross multiply
    8,511.75x = 18,037.27 × 18,037.27
  4. Step 4: Simplify right side
    8,511.75x = 325,342,951.23
  5. Step 5: Solve for x
    x = 325,342,951.23/8,511.75
  6. Step 6: Final answer
    x = 38,222.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.