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Finding the Third Proportional to 20,576 and 27,880

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Solution

The third proportional to 20,576 and 27,880 is: 37,776.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,576 : 27,880 = 27,880 : x
  2. Step 2: Convert to fraction form
    20,576/27,880 = 27,880/x
  3. Step 3: Cross multiply
    20,576x = 27,880 × 27,880
  4. Step 4: Simplify right side
    20,576x = 777,294,400
  5. Step 5: Solve for x
    x = 777,294,400/20,576
  6. Step 6: Final answer
    x = 37,776.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.