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Finding the Third Proportional to 754.08 and 1,661.48

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Solution

The third proportional to 754.08 and 1,661.48 is: 3,660.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.08 : 1,661.48 = 1,661.48 : x
  2. Step 2: Convert to fraction form
    754.08/1,661.48 = 1,661.48/x
  3. Step 3: Cross multiply
    754.08x = 1,661.48 × 1,661.48
  4. Step 4: Simplify right side
    754.08x = 2,760,530.33
  5. Step 5: Solve for x
    x = 2,760,530.33/754.08
  6. Step 6: Final answer
    x = 3,660.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.