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Finding the Third Proportional to 20,806 and 27,144

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Solution

The third proportional to 20,806 and 27,144 is: 35,412.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806 : 27,144 = 27,144 : x
  2. Step 2: Convert to fraction form
    20,806/27,144 = 27,144/x
  3. Step 3: Cross multiply
    20,806x = 27,144 × 27,144
  4. Step 4: Simplify right side
    20,806x = 736,796,736
  5. Step 5: Solve for x
    x = 736,796,736/20,806
  6. Step 6: Final answer
    x = 35,412.70

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.