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Finding the Third Proportional to 36,760 and 79,742

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Solution

The third proportional to 36,760 and 79,742 is: 172,981.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,760 : 79,742 = 79,742 : x
  2. Step 2: Convert to fraction form
    36,760/79,742 = 79,742/x
  3. Step 3: Cross multiply
    36,760x = 79,742 × 79,742
  4. Step 4: Simplify right side
    36,760x = 6,358,786,564
  5. Step 5: Solve for x
    x = 6,358,786,564/36,760
  6. Step 6: Final answer
    x = 172,981.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.