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Finding the Third Proportional to 50,392.75 and 76,241

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Solution

The third proportional to 50,392.75 and 76,241 is: 115,347.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,392.75 : 76,241 = 76,241 : x
  2. Step 2: Convert to fraction form
    50,392.75/76,241 = 76,241/x
  3. Step 3: Cross multiply
    50,392.75x = 76,241 × 76,241
  4. Step 4: Simplify right side
    50,392.75x = 5,812,690,081
  5. Step 5: Solve for x
    x = 5,812,690,081/50,392.75
  6. Step 6: Final answer
    x = 115,347.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.