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Finding the Third Proportional to 36,830 and 76,940

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Solution

The third proportional to 36,830 and 76,940 is: 160,732.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,830 : 76,940 = 76,940 : x
  2. Step 2: Convert to fraction form
    36,830/76,940 = 76,940/x
  3. Step 3: Cross multiply
    36,830x = 76,940 × 76,940
  4. Step 4: Simplify right side
    36,830x = 5,919,763,600
  5. Step 5: Solve for x
    x = 5,919,763,600/36,830
  6. Step 6: Final answer
    x = 160,732.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.