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Finding the Third Proportional to 36,744 and 49,647

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Solution

The third proportional to 36,744 and 49,647 is: 67,081.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,744 : 49,647 = 49,647 : x
  2. Step 2: Convert to fraction form
    36,744/49,647 = 49,647/x
  3. Step 3: Cross multiply
    36,744x = 49,647 × 49,647
  4. Step 4: Simplify right side
    36,744x = 2,464,824,609
  5. Step 5: Solve for x
    x = 2,464,824,609/36,744
  6. Step 6: Final answer
    x = 67,081.01

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.