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Finding the Third Proportional to 35,174.25 and 74,960.44

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Solution

The third proportional to 35,174.25 and 74,960.44 is: 159,749.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,174.25 : 74,960.44 = 74,960.44 : x
  2. Step 2: Convert to fraction form
    35,174.25/74,960.44 = 74,960.44/x
  3. Step 3: Cross multiply
    35,174.25x = 74,960.44 × 74,960.44
  4. Step 4: Simplify right side
    35,174.25x = 5,619,067,190.19
  5. Step 5: Solve for x
    x = 5,619,067,190.19/35,174.25
  6. Step 6: Final answer
    x = 159,749.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.