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Finding the Third Proportional to 20,601 and 27,984.75

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Solution

The third proportional to 20,601 and 27,984.75 is: 38,014.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,601 : 27,984.75 = 27,984.75 : x
  2. Step 2: Convert to fraction form
    20,601/27,984.75 = 27,984.75/x
  3. Step 3: Cross multiply
    20,601x = 27,984.75 × 27,984.75
  4. Step 4: Simplify right side
    20,601x = 783,146,232.56
  5. Step 5: Solve for x
    x = 783,146,232.56/20,601
  6. Step 6: Final answer
    x = 38,014.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.