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Finding the Third Proportional to 25,749.50 and 54,267

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Solution

The third proportional to 25,749.50 and 54,267 is: 114,367.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,749.50 : 54,267 = 54,267 : x
  2. Step 2: Convert to fraction form
    25,749.50/54,267 = 54,267/x
  3. Step 3: Cross multiply
    25,749.50x = 54,267 × 54,267
  4. Step 4: Simplify right side
    25,749.50x = 2,944,907,289
  5. Step 5: Solve for x
    x = 2,944,907,289/25,749.50
  6. Step 6: Final answer
    x = 114,367.55

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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.