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Finding the Third Proportional to 36,994 and 80,897

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Solution

The third proportional to 36,994 and 80,897 is: 176,902.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,994 : 80,897 = 80,897 : x
  2. Step 2: Convert to fraction form
    36,994/80,897 = 80,897/x
  3. Step 3: Cross multiply
    36,994x = 80,897 × 80,897
  4. Step 4: Simplify right side
    36,994x = 6,544,324,609
  5. Step 5: Solve for x
    x = 6,544,324,609/36,994
  6. Step 6: Final answer
    x = 176,902.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.