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Finding the Third Proportional to 37,872 and 82,296

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Solution

The third proportional to 37,872 and 82,296 is: 178,829.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,872 : 82,296 = 82,296 : x
  2. Step 2: Convert to fraction form
    37,872/82,296 = 82,296/x
  3. Step 3: Cross multiply
    37,872x = 82,296 × 82,296
  4. Step 4: Simplify right side
    37,872x = 6,772,631,616
  5. Step 5: Solve for x
    x = 6,772,631,616/37,872
  6. Step 6: Final answer
    x = 178,829.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.