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Finding the Third Proportional to 36,638 and 75,742

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Solution

The third proportional to 36,638 and 75,742 is: 156,581.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,638 : 75,742 = 75,742 : x
  2. Step 2: Convert to fraction form
    36,638/75,742 = 75,742/x
  3. Step 3: Cross multiply
    36,638x = 75,742 × 75,742
  4. Step 4: Simplify right side
    36,638x = 5,736,850,564
  5. Step 5: Solve for x
    x = 5,736,850,564/36,638
  6. Step 6: Final answer
    x = 156,581.98

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.