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Finding the Third Proportional to 36,351 and 50,791.50

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Solution

The third proportional to 36,351 and 50,791.50 is: 70,968.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,351 : 50,791.50 = 50,791.50 : x
  2. Step 2: Convert to fraction form
    36,351/50,791.50 = 50,791.50/x
  3. Step 3: Cross multiply
    36,351x = 50,791.50 × 50,791.50
  4. Step 4: Simplify right side
    36,351x = 2,579,776,472.25
  5. Step 5: Solve for x
    x = 2,579,776,472.25/36,351
  6. Step 6: Final answer
    x = 70,968.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.