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Finding the Third Proportional to 36,972 and 81,846

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Solution

The third proportional to 36,972 and 81,846 is: 181,184.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,972 : 81,846 = 81,846 : x
  2. Step 2: Convert to fraction form
    36,972/81,846 = 81,846/x
  3. Step 3: Cross multiply
    36,972x = 81,846 × 81,846
  4. Step 4: Simplify right side
    36,972x = 6,698,767,716
  5. Step 5: Solve for x
    x = 6,698,767,716/36,972
  6. Step 6: Final answer
    x = 181,184.89

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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.