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Finding the Third Proportional to 20,744 and 27,948

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Solution

The third proportional to 20,744 and 27,948 is: 37,653.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,744 : 27,948 = 27,948 : x
  2. Step 2: Convert to fraction form
    20,744/27,948 = 27,948/x
  3. Step 3: Cross multiply
    20,744x = 27,948 × 27,948
  4. Step 4: Simplify right side
    20,744x = 781,090,704
  5. Step 5: Solve for x
    x = 781,090,704/20,744
  6. Step 6: Final answer
    x = 37,653.81

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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.