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Finding the Third Proportional to 20,962 and 32,173

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Solution

The third proportional to 20,962 and 32,173 is: 49,379.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,962 : 32,173 = 32,173 : x
  2. Step 2: Convert to fraction form
    20,962/32,173 = 32,173/x
  3. Step 3: Cross multiply
    20,962x = 32,173 × 32,173
  4. Step 4: Simplify right side
    20,962x = 1,035,101,929
  5. Step 5: Solve for x
    x = 1,035,101,929/20,962
  6. Step 6: Final answer
    x = 49,379.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.