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Finding the Third Proportional to 29,730.75 and 40,769.25

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Solution

The third proportional to 29,730.75 and 40,769.25 is: 55,906.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,730.75 : 40,769.25 = 40,769.25 : x
  2. Step 2: Convert to fraction form
    29,730.75/40,769.25 = 40,769.25/x
  3. Step 3: Cross multiply
    29,730.75x = 40,769.25 × 40,769.25
  4. Step 4: Simplify right side
    29,730.75x = 1,662,131,745.56
  5. Step 5: Solve for x
    x = 1,662,131,745.56/29,730.75
  6. Step 6: Final answer
    x = 55,906.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.