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Finding the Third Proportional to 5,995.27 and 8,992.27

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Solution

The third proportional to 5,995.27 and 8,992.27 is: 13,487.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,995.27 : 8,992.27 = 8,992.27 : x
  2. Step 2: Convert to fraction form
    5,995.27/8,992.27 = 8,992.27/x
  3. Step 3: Cross multiply
    5,995.27x = 8,992.27 × 8,992.27
  4. Step 4: Simplify right side
    5,995.27x = 80,860,841.07
  5. Step 5: Solve for x
    x = 80,860,841.07/5,995.27
  6. Step 6: Final answer
    x = 13,487.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.