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Finding the Third Proportional to 10,474.31 and 14,651.44

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Solution

The third proportional to 10,474.31 and 14,651.44 is: 20,494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.31 : 14,651.44 = 14,651.44 : x
  2. Step 2: Convert to fraction form
    10,474.31/14,651.44 = 14,651.44/x
  3. Step 3: Cross multiply
    10,474.31x = 14,651.44 × 14,651.44
  4. Step 4: Simplify right side
    10,474.31x = 214,664,620.82
  5. Step 5: Solve for x
    x = 214,664,620.82/10,474.31
  6. Step 6: Final answer
    x = 20,494.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.