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Finding the Third Proportional to 36,896 and 79,624

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Solution

The third proportional to 36,896 and 79,624 is: 171,833.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,896 : 79,624 = 79,624 : x
  2. Step 2: Convert to fraction form
    36,896/79,624 = 79,624/x
  3. Step 3: Cross multiply
    36,896x = 79,624 × 79,624
  4. Step 4: Simplify right side
    36,896x = 6,339,981,376
  5. Step 5: Solve for x
    x = 6,339,981,376/36,896
  6. Step 6: Final answer
    x = 171,833.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.