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Finding the Third Proportional to 38,901.75 and 71,694.75

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Solution

The third proportional to 38,901.75 and 71,694.75 is: 132,131.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,901.75 : 71,694.75 = 71,694.75 : x
  2. Step 2: Convert to fraction form
    38,901.75/71,694.75 = 71,694.75/x
  3. Step 3: Cross multiply
    38,901.75x = 71,694.75 × 71,694.75
  4. Step 4: Simplify right side
    38,901.75x = 5,140,137,177.56
  5. Step 5: Solve for x
    x = 5,140,137,177.56/38,901.75
  6. Step 6: Final answer
    x = 132,131.26

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.