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Finding the Third Proportional to 25,404 and 54,324.75

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Solution

The third proportional to 25,404 and 54,324.75 is: 116,169.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,404 : 54,324.75 = 54,324.75 : x
  2. Step 2: Convert to fraction form
    25,404/54,324.75 = 54,324.75/x
  3. Step 3: Cross multiply
    25,404x = 54,324.75 × 54,324.75
  4. Step 4: Simplify right side
    25,404x = 2,951,178,462.56
  5. Step 5: Solve for x
    x = 2,951,178,462.56/25,404
  6. Step 6: Final answer
    x = 116,169.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.