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Finding the Third Proportional to 19,744 and 27,720

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Solution

The third proportional to 19,744 and 27,720 is: 38,918.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,744 : 27,720 = 27,720 : x
  2. Step 2: Convert to fraction form
    19,744/27,720 = 27,720/x
  3. Step 3: Cross multiply
    19,744x = 27,720 × 27,720
  4. Step 4: Simplify right side
    19,744x = 768,398,400
  5. Step 5: Solve for x
    x = 768,398,400/19,744
  6. Step 6: Final answer
    x = 38,918.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.