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Finding the Third Proportional to 38,994 and 79,836

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Solution

The third proportional to 38,994 and 79,836 is: 163,455.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,994 : 79,836 = 79,836 : x
  2. Step 2: Convert to fraction form
    38,994/79,836 = 79,836/x
  3. Step 3: Cross multiply
    38,994x = 79,836 × 79,836
  4. Step 4: Simplify right side
    38,994x = 6,373,786,896
  5. Step 5: Solve for x
    x = 6,373,786,896/38,994
  6. Step 6: Final answer
    x = 163,455.58

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.