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Finding the Third Proportional to 41,728.92 and 92,786.77

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Solution

The third proportional to 41,728.92 and 92,786.77 is: 206,316.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,728.92 : 92,786.77 = 92,786.77 : x
  2. Step 2: Convert to fraction form
    41,728.92/92,786.77 = 92,786.77/x
  3. Step 3: Cross multiply
    41,728.92x = 92,786.77 × 92,786.77
  4. Step 4: Simplify right side
    41,728.92x = 8,609,383,875.15
  5. Step 5: Solve for x
    x = 8,609,383,875.15/41,728.92
  6. Step 6: Final answer
    x = 206,316.95

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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.