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Finding the Third Proportional to 37,539 and 82,638

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Solution

The third proportional to 37,539 and 82,638 is: 181,918.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,539 : 82,638 = 82,638 : x
  2. Step 2: Convert to fraction form
    37,539/82,638 = 82,638/x
  3. Step 3: Cross multiply
    37,539x = 82,638 × 82,638
  4. Step 4: Simplify right side
    37,539x = 6,829,039,044
  5. Step 5: Solve for x
    x = 6,829,039,044/37,539
  6. Step 6: Final answer
    x = 181,918.51

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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.