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Finding the Third Proportional to 2,668.78 and 5,732.44

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Solution

The third proportional to 2,668.78 and 5,732.44 is: 12,313.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.78 : 5,732.44 = 5,732.44 : x
  2. Step 2: Convert to fraction form
    2,668.78/5,732.44 = 5,732.44/x
  3. Step 3: Cross multiply
    2,668.78x = 5,732.44 × 5,732.44
  4. Step 4: Simplify right side
    2,668.78x = 32,860,839.69
  5. Step 5: Solve for x
    x = 32,860,839.69/2,668.78
  6. Step 6: Final answer
    x = 12,313.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.