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Finding the Third Proportional to 8,020.27 and 12,141.14

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Solution

The third proportional to 8,020.27 and 12,141.14 is: 18,379.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020.27 : 12,141.14 = 12,141.14 : x
  2. Step 2: Convert to fraction form
    8,020.27/12,141.14 = 12,141.14/x
  3. Step 3: Cross multiply
    8,020.27x = 12,141.14 × 12,141.14
  4. Step 4: Simplify right side
    8,020.27x = 147,407,295.68
  5. Step 5: Solve for x
    x = 147,407,295.68/8,020.27
  6. Step 6: Final answer
    x = 18,379.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.