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Finding the Third Proportional to 13,511 and 20,212.25

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Solution

The third proportional to 13,511 and 20,212.25 is: 30,237.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,511 : 20,212.25 = 20,212.25 : x
  2. Step 2: Convert to fraction form
    13,511/20,212.25 = 20,212.25/x
  3. Step 3: Cross multiply
    13,511x = 20,212.25 × 20,212.25
  4. Step 4: Simplify right side
    13,511x = 408,535,050.06
  5. Step 5: Solve for x
    x = 408,535,050.06/13,511
  6. Step 6: Final answer
    x = 30,237.22

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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.