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Finding the Third Proportional to 8,182.27 and 12,511.30

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Solution

The third proportional to 8,182.27 and 12,511.30 is: 19,130.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.27 : 12,511.30 = 12,511.30 : x
  2. Step 2: Convert to fraction form
    8,182.27/12,511.30 = 12,511.30/x
  3. Step 3: Cross multiply
    8,182.27x = 12,511.30 × 12,511.30
  4. Step 4: Simplify right side
    8,182.27x = 156,532,537.28
  5. Step 5: Solve for x
    x = 156,532,537.28/8,182.27
  6. Step 6: Final answer
    x = 19,130.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.