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Finding the Third Proportional to 10,838.25 and 16,212.75

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Solution

The third proportional to 10,838.25 and 16,212.75 is: 24,252.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.25 : 16,212.75 = 16,212.75 : x
  2. Step 2: Convert to fraction form
    10,838.25/16,212.75 = 16,212.75/x
  3. Step 3: Cross multiply
    10,838.25x = 16,212.75 × 16,212.75
  4. Step 4: Simplify right side
    10,838.25x = 262,853,262.56
  5. Step 5: Solve for x
    x = 262,853,262.56/10,838.25
  6. Step 6: Final answer
    x = 24,252.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.