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Finding the Third Proportional to 5,968.69 and 12,729.66

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Solution

The third proportional to 5,968.69 and 12,729.66 is: 27,149.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.69 : 12,729.66 = 12,729.66 : x
  2. Step 2: Convert to fraction form
    5,968.69/12,729.66 = 12,729.66/x
  3. Step 3: Cross multiply
    5,968.69x = 12,729.66 × 12,729.66
  4. Step 4: Simplify right side
    5,968.69x = 162,044,148.24
  5. Step 5: Solve for x
    x = 162,044,148.24/5,968.69
  6. Step 6: Final answer
    x = 27,149.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.