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Finding the Third Proportional to 41,724.75 and 92,778.75

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Solution

The third proportional to 41,724.75 and 92,778.75 is: 206,301.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,724.75 : 92,778.75 = 92,778.75 : x
  2. Step 2: Convert to fraction form
    41,724.75/92,778.75 = 92,778.75/x
  3. Step 3: Cross multiply
    41,724.75x = 92,778.75 × 92,778.75
  4. Step 4: Simplify right side
    41,724.75x = 8,607,896,451.56
  5. Step 5: Solve for x
    x = 8,607,896,451.56/41,724.75
  6. Step 6: Final answer
    x = 206,301.93

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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.