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Finding the Third Proportional to 37,512 and 82,633

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Solution

The third proportional to 37,512 and 82,633 is: 182,027.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,512 : 82,633 = 82,633 : x
  2. Step 2: Convert to fraction form
    37,512/82,633 = 82,633/x
  3. Step 3: Cross multiply
    37,512x = 82,633 × 82,633
  4. Step 4: Simplify right side
    37,512x = 6,828,212,689
  5. Step 5: Solve for x
    x = 6,828,212,689/37,512
  6. Step 6: Final answer
    x = 182,027.42

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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.