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Finding the Third Proportional to 8,155.69 and 16,653.09

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Solution

The third proportional to 8,155.69 and 16,653.09 is: 34,003.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155.69 : 16,653.09 = 16,653.09 : x
  2. Step 2: Convert to fraction form
    8,155.69/16,653.09 = 16,653.09/x
  3. Step 3: Cross multiply
    8,155.69x = 16,653.09 × 16,653.09
  4. Step 4: Simplify right side
    8,155.69x = 277,325,531.45
  5. Step 5: Solve for x
    x = 277,325,531.45/8,155.69
  6. Step 6: Final answer
    x = 34,003.94

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.