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Finding the Third Proportional to 37,858 and 82,324

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Solution

The third proportional to 37,858 and 82,324 is: 179,017.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,858 : 82,324 = 82,324 : x
  2. Step 2: Convert to fraction form
    37,858/82,324 = 82,324/x
  3. Step 3: Cross multiply
    37,858x = 82,324 × 82,324
  4. Step 4: Simplify right side
    37,858x = 6,777,240,976
  5. Step 5: Solve for x
    x = 6,777,240,976/37,858
  6. Step 6: Final answer
    x = 179,017.41

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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.