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Finding the Third Proportional to 25,273.50 and 54,738.75

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Solution

The third proportional to 25,273.50 and 54,738.75 is: 118,556.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,273.50 : 54,738.75 = 54,738.75 : x
  2. Step 2: Convert to fraction form
    25,273.50/54,738.75 = 54,738.75/x
  3. Step 3: Cross multiply
    25,273.50x = 54,738.75 × 54,738.75
  4. Step 4: Simplify right side
    25,273.50x = 2,996,330,751.56
  5. Step 5: Solve for x
    x = 2,996,330,751.56/25,273.50
  6. Step 6: Final answer
    x = 118,556.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.