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Finding the Third Proportional to 12,932 and 20,662

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Solution

The third proportional to 12,932 and 20,662 is: 33,012.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,932 : 20,662 = 20,662 : x
  2. Step 2: Convert to fraction form
    12,932/20,662 = 20,662/x
  3. Step 3: Cross multiply
    12,932x = 20,662 × 20,662
  4. Step 4: Simplify right side
    12,932x = 426,918,244
  5. Step 5: Solve for x
    x = 426,918,244/12,932
  6. Step 6: Final answer
    x = 33,012.55

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