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Finding the Third Proportional to 20,106 and 32,175

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Solution

The third proportional to 20,106 and 32,175 is: 51,488.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,106 : 32,175 = 32,175 : x
  2. Step 2: Convert to fraction form
    20,106/32,175 = 32,175/x
  3. Step 3: Cross multiply
    20,106x = 32,175 × 32,175
  4. Step 4: Simplify right side
    20,106x = 1,035,230,625
  5. Step 5: Solve for x
    x = 1,035,230,625/20,106
  6. Step 6: Final answer
    x = 51,488.64

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.