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Finding the Third Proportional to 37,467 and 82,296

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Solution

The third proportional to 37,467 and 82,296 is: 180,762.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,467 : 82,296 = 82,296 : x
  2. Step 2: Convert to fraction form
    37,467/82,296 = 82,296/x
  3. Step 3: Cross multiply
    37,467x = 82,296 × 82,296
  4. Step 4: Simplify right side
    37,467x = 6,772,631,616
  5. Step 5: Solve for x
    x = 6,772,631,616/37,467
  6. Step 6: Final answer
    x = 180,762.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.