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Finding the Third Proportional to 1,760.91 and 3,228.19

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Solution

The third proportional to 1,760.91 and 3,228.19 is: 5,918.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.91 : 3,228.19 = 3,228.19 : x
  2. Step 2: Convert to fraction form
    1,760.91/3,228.19 = 3,228.19/x
  3. Step 3: Cross multiply
    1,760.91x = 3,228.19 × 3,228.19
  4. Step 4: Simplify right side
    1,760.91x = 10,421,194.54
  5. Step 5: Solve for x
    x = 10,421,194.54/1,760.91
  6. Step 6: Final answer
    x = 5,918.09

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.