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Finding the Third Proportional to 1,218.75 and 2,668.88

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Solution

The third proportional to 1,218.75 and 2,668.88 is: 5,844.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.75 : 2,668.88 = 2,668.88 : x
  2. Step 2: Convert to fraction form
    1,218.75/2,668.88 = 2,668.88/x
  3. Step 3: Cross multiply
    1,218.75x = 2,668.88 × 2,668.88
  4. Step 4: Simplify right side
    1,218.75x = 7,122,893.77
  5. Step 5: Solve for x
    x = 7,122,893.77/1,218.75
  6. Step 6: Final answer
    x = 5,844.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.