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Finding the Third Proportional to 37,467 and 80,265

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Solution

The third proportional to 37,467 and 80,265 is: 171,950.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,467 : 80,265 = 80,265 : x
  2. Step 2: Convert to fraction form
    37,467/80,265 = 80,265/x
  3. Step 3: Cross multiply
    37,467x = 80,265 × 80,265
  4. Step 4: Simplify right side
    37,467x = 6,442,470,225
  5. Step 5: Solve for x
    x = 6,442,470,225/37,467
  6. Step 6: Final answer
    x = 171,950.52

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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.