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Finding the Third Proportional to 50,994.75 and 71,685

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Solution

The third proportional to 50,994.75 and 71,685 is: 100,769.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,994.75 : 71,685 = 71,685 : x
  2. Step 2: Convert to fraction form
    50,994.75/71,685 = 71,685/x
  3. Step 3: Cross multiply
    50,994.75x = 71,685 × 71,685
  4. Step 4: Simplify right side
    50,994.75x = 5,138,739,225
  5. Step 5: Solve for x
    x = 5,138,739,225/50,994.75
  6. Step 6: Final answer
    x = 100,769.97

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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.