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Finding the Third Proportional to 20,313 and 27,672.75

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Solution

The third proportional to 20,313 and 27,672.75 is: 37,699.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,313 : 27,672.75 = 27,672.75 : x
  2. Step 2: Convert to fraction form
    20,313/27,672.75 = 27,672.75/x
  3. Step 3: Cross multiply
    20,313x = 27,672.75 × 27,672.75
  4. Step 4: Simplify right side
    20,313x = 765,781,092.56
  5. Step 5: Solve for x
    x = 765,781,092.56/20,313
  6. Step 6: Final answer
    x = 37,699.06

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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.