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Finding the Third Proportional to 1,239.05 and 2,682.28

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Solution

The third proportional to 1,239.05 and 2,682.28 is: 5,806.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.05 : 2,682.28 = 2,682.28 : x
  2. Step 2: Convert to fraction form
    1,239.05/2,682.28 = 2,682.28/x
  3. Step 3: Cross multiply
    1,239.05x = 2,682.28 × 2,682.28
  4. Step 4: Simplify right side
    1,239.05x = 7,194,632.70
  5. Step 5: Solve for x
    x = 7,194,632.70/1,239.05
  6. Step 6: Final answer
    x = 5,806.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.