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Finding the Third Proportional to 50,811.75 and 71,489.25

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Solution

The third proportional to 50,811.75 and 71,489.25 is: 100,581.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,811.75 : 71,489.25 = 71,489.25 : x
  2. Step 2: Convert to fraction form
    50,811.75/71,489.25 = 71,489.25/x
  3. Step 3: Cross multiply
    50,811.75x = 71,489.25 × 71,489.25
  4. Step 4: Simplify right side
    50,811.75x = 5,110,712,865.56
  5. Step 5: Solve for x
    x = 5,110,712,865.56/50,811.75
  6. Step 6: Final answer
    x = 100,581.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.