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Finding the Third Proportional to 37,467 and 82,869

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Solution

The third proportional to 37,467 and 82,869 is: 183,288.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,467 : 82,869 = 82,869 : x
  2. Step 2: Convert to fraction form
    37,467/82,869 = 82,869/x
  3. Step 3: Cross multiply
    37,467x = 82,869 × 82,869
  4. Step 4: Simplify right side
    37,467x = 6,867,271,161
  5. Step 5: Solve for x
    x = 6,867,271,161/37,467
  6. Step 6: Final answer
    x = 183,288.52

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.