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Finding the Third Proportional to 37,462 and 80,255

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Solution

The third proportional to 37,462 and 80,255 is: 171,930.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,462 : 80,255 = 80,255 : x
  2. Step 2: Convert to fraction form
    37,462/80,255 = 80,255/x
  3. Step 3: Cross multiply
    37,462x = 80,255 × 80,255
  4. Step 4: Simplify right side
    37,462x = 6,440,865,025
  5. Step 5: Solve for x
    x = 6,440,865,025/37,462
  6. Step 6: Final answer
    x = 171,930.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.