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Finding the Third Proportional to 6,000.96 and 12,890.39

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Solution

The third proportional to 6,000.96 and 12,890.39 is: 27,689.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.96 : 12,890.39 = 12,890.39 : x
  2. Step 2: Convert to fraction form
    6,000.96/12,890.39 = 12,890.39/x
  3. Step 3: Cross multiply
    6,000.96x = 12,890.39 × 12,890.39
  4. Step 4: Simplify right side
    6,000.96x = 166,162,170.47
  5. Step 5: Solve for x
    x = 166,162,170.47/6,000.96
  6. Step 6: Final answer
    x = 27,689.26

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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.