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Finding the Third Proportional to 20,493 and 27,813

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Solution

The third proportional to 20,493 and 27,813 is: 37,747.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,493 : 27,813 = 27,813 : x
  2. Step 2: Convert to fraction form
    20,493/27,813 = 27,813/x
  3. Step 3: Cross multiply
    20,493x = 27,813 × 27,813
  4. Step 4: Simplify right side
    20,493x = 773,562,969
  5. Step 5: Solve for x
    x = 773,562,969/20,493
  6. Step 6: Final answer
    x = 37,747.67

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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.