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Finding the Third Proportional to 25,800 and 54,504

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Solution

The third proportional to 25,800 and 54,504 is: 115,142.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,800 : 54,504 = 54,504 : x
  2. Step 2: Convert to fraction form
    25,800/54,504 = 54,504/x
  3. Step 3: Cross multiply
    25,800x = 54,504 × 54,504
  4. Step 4: Simplify right side
    25,800x = 2,970,686,016
  5. Step 5: Solve for x
    x = 2,970,686,016/25,800
  6. Step 6: Final answer
    x = 115,142.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.