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Finding the Third Proportional to 11,314.13 and 14,372.44

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Solution

The third proportional to 11,314.13 and 14,372.44 is: 18,257.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.13 : 14,372.44 = 14,372.44 : x
  2. Step 2: Convert to fraction form
    11,314.13/14,372.44 = 14,372.44/x
  3. Step 3: Cross multiply
    11,314.13x = 14,372.44 × 14,372.44
  4. Step 4: Simplify right side
    11,314.13x = 206,566,959.69
  5. Step 5: Solve for x
    x = 206,566,959.69/11,314.13
  6. Step 6: Final answer
    x = 18,257.44

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.