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Finding the Third Proportional to 1,207.97 and 2,668.78

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Solution

The third proportional to 1,207.97 and 2,668.78 is: 5,896.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.97 : 2,668.78 = 2,668.78 : x
  2. Step 2: Convert to fraction form
    1,207.97/2,668.78 = 2,668.78/x
  3. Step 3: Cross multiply
    1,207.97x = 2,668.78 × 2,668.78
  4. Step 4: Simplify right side
    1,207.97x = 7,122,393.36
  5. Step 5: Solve for x
    x = 7,122,393.36/1,207.97
  6. Step 6: Final answer
    x = 5,896.17

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.