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Finding the Third Proportional to 35,306 and 50,191

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Solution

The third proportional to 35,306 and 50,191 is: 71,351.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,306 : 50,191 = 50,191 : x
  2. Step 2: Convert to fraction form
    35,306/50,191 = 50,191/x
  3. Step 3: Cross multiply
    35,306x = 50,191 × 50,191
  4. Step 4: Simplify right side
    35,306x = 2,519,136,481
  5. Step 5: Solve for x
    x = 2,519,136,481/35,306
  6. Step 6: Final answer
    x = 71,351.51

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.