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Finding the Third Proportional to 41,731.45 and 92,469.09

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Solution

The third proportional to 41,731.45 and 92,469.09 is: 204,894.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,731.45 : 92,469.09 = 92,469.09 : x
  2. Step 2: Convert to fraction form
    41,731.45/92,469.09 = 92,469.09/x
  3. Step 3: Cross multiply
    41,731.45x = 92,469.09 × 92,469.09
  4. Step 4: Simplify right side
    41,731.45x = 8,550,533,298.95
  5. Step 5: Solve for x
    x = 8,550,533,298.95/41,731.45
  6. Step 6: Final answer
    x = 204,894.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.