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Finding the Third Proportional to 35,504.25 and 54,974.25

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Solution

The third proportional to 35,504.25 and 54,974.25 is: 85,121.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,504.25 : 54,974.25 = 54,974.25 : x
  2. Step 2: Convert to fraction form
    35,504.25/54,974.25 = 54,974.25/x
  3. Step 3: Cross multiply
    35,504.25x = 54,974.25 × 54,974.25
  4. Step 4: Simplify right side
    35,504.25x = 3,022,168,163.06
  5. Step 5: Solve for x
    x = 3,022,168,163.06/35,504.25
  6. Step 6: Final answer
    x = 85,121.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.