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Finding the Third Proportional to 13,518.75 and 18,083.44

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Solution

The third proportional to 13,518.75 and 18,083.44 is: 24,189.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,518.75 : 18,083.44 = 18,083.44 : x
  2. Step 2: Convert to fraction form
    13,518.75/18,083.44 = 18,083.44/x
  3. Step 3: Cross multiply
    13,518.75x = 18,083.44 × 18,083.44
  4. Step 4: Simplify right side
    13,518.75x = 327,010,711.82
  5. Step 5: Solve for x
    x = 327,010,711.82/13,518.75
  6. Step 6: Final answer
    x = 24,189.42

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.