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Finding the Third Proportional to 8,180.44 and 12,974.63

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Solution

The third proportional to 8,180.44 and 12,974.63 is: 20,578.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180.44 : 12,974.63 = 12,974.63 : x
  2. Step 2: Convert to fraction form
    8,180.44/12,974.63 = 12,974.63/x
  3. Step 3: Cross multiply
    8,180.44x = 12,974.63 × 12,974.63
  4. Step 4: Simplify right side
    8,180.44x = 168,340,893.89
  5. Step 5: Solve for x
    x = 168,340,893.89/8,180.44
  6. Step 6: Final answer
    x = 20,578.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.