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Finding the Third Proportional to 36,974 and 79,477

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Solution

The third proportional to 36,974 and 79,477 is: 170,838.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,974 : 79,477 = 79,477 : x
  2. Step 2: Convert to fraction form
    36,974/79,477 = 79,477/x
  3. Step 3: Cross multiply
    36,974x = 79,477 × 79,477
  4. Step 4: Simplify right side
    36,974x = 6,316,593,529
  5. Step 5: Solve for x
    x = 6,316,593,529/36,974
  6. Step 6: Final answer
    x = 170,838.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.