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Finding the Third Proportional to 38,040.75 and 54,069.75

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Solution

The third proportional to 38,040.75 and 54,069.75 is: 76,852.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,040.75 : 54,069.75 = 54,069.75 : x
  2. Step 2: Convert to fraction form
    38,040.75/54,069.75 = 54,069.75/x
  3. Step 3: Cross multiply
    38,040.75x = 54,069.75 × 54,069.75
  4. Step 4: Simplify right side
    38,040.75x = 2,923,537,865.06
  5. Step 5: Solve for x
    x = 2,923,537,865.06/38,040.75
  6. Step 6: Final answer
    x = 76,852.79

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.