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Finding the Third Proportional to 13,692.75 and 20,214.75

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Solution

The third proportional to 13,692.75 and 20,214.75 is: 29,843.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692.75 : 20,214.75 = 20,214.75 : x
  2. Step 2: Convert to fraction form
    13,692.75/20,214.75 = 20,214.75/x
  3. Step 3: Cross multiply
    13,692.75x = 20,214.75 × 20,214.75
  4. Step 4: Simplify right side
    13,692.75x = 408,636,117.56
  5. Step 5: Solve for x
    x = 408,636,117.56/13,692.75
  6. Step 6: Final answer
    x = 29,843.25

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.