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Finding the Third Proportional to 25,764 and 54,296

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Solution

The third proportional to 25,764 and 54,296 is: 114,425.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,764 : 54,296 = 54,296 : x
  2. Step 2: Convert to fraction form
    25,764/54,296 = 54,296/x
  3. Step 3: Cross multiply
    25,764x = 54,296 × 54,296
  4. Step 4: Simplify right side
    25,764x = 2,948,055,616
  5. Step 5: Solve for x
    x = 2,948,055,616/25,764
  6. Step 6: Final answer
    x = 114,425.38

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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.