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Finding the Third Proportional to 37,351 and 80,462

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Solution

The third proportional to 37,351 and 80,462 is: 173,332.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,351 : 80,462 = 80,462 : x
  2. Step 2: Convert to fraction form
    37,351/80,462 = 80,462/x
  3. Step 3: Cross multiply
    37,351x = 80,462 × 80,462
  4. Step 4: Simplify right side
    37,351x = 6,474,133,444
  5. Step 5: Solve for x
    x = 6,474,133,444/37,351
  6. Step 6: Final answer
    x = 173,332.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.