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Finding the Third Proportional to 12,102 and 20,175

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Solution

The third proportional to 12,102 and 20,175 is: 33,633.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102 : 20,175 = 20,175 : x
  2. Step 2: Convert to fraction form
    12,102/20,175 = 20,175/x
  3. Step 3: Cross multiply
    12,102x = 20,175 × 20,175
  4. Step 4: Simplify right side
    12,102x = 407,030,625
  5. Step 5: Solve for x
    x = 407,030,625/12,102
  6. Step 6: Final answer
    x = 33,633.34

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.