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Finding the Third Proportional to 27,982 and 38,782.75

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Solution

The third proportional to 27,982 and 38,782.75 is: 53,752.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,982 : 38,782.75 = 38,782.75 : x
  2. Step 2: Convert to fraction form
    27,982/38,782.75 = 38,782.75/x
  3. Step 3: Cross multiply
    27,982x = 38,782.75 × 38,782.75
  4. Step 4: Simplify right side
    27,982x = 1,504,101,697.56
  5. Step 5: Solve for x
    x = 1,504,101,697.56/27,982
  6. Step 6: Final answer
    x = 53,752.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.