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Finding the Third Proportional to 25,821 and 54,744.75

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Solution

The third proportional to 25,821 and 54,744.75 is: 116,067.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,821 : 54,744.75 = 54,744.75 : x
  2. Step 2: Convert to fraction form
    25,821/54,744.75 = 54,744.75/x
  3. Step 3: Cross multiply
    25,821x = 54,744.75 × 54,744.75
  4. Step 4: Simplify right side
    25,821x = 2,996,987,652.56
  5. Step 5: Solve for x
    x = 2,996,987,652.56/25,821
  6. Step 6: Final answer
    x = 116,067.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.