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Finding the Third Proportional to 20,992 and 32,765

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Solution

The third proportional to 20,992 and 32,765 is: 51,140.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,992 : 32,765 = 32,765 : x
  2. Step 2: Convert to fraction form
    20,992/32,765 = 32,765/x
  3. Step 3: Cross multiply
    20,992x = 32,765 × 32,765
  4. Step 4: Simplify right side
    20,992x = 1,073,545,225
  5. Step 5: Solve for x
    x = 1,073,545,225/20,992
  6. Step 6: Final answer
    x = 51,140.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.