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Finding the Third Proportional to 36,717 and 79,669.50

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Solution

The third proportional to 36,717 and 79,669.50 is: 172,868.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,717 : 79,669.50 = 79,669.50 : x
  2. Step 2: Convert to fraction form
    36,717/79,669.50 = 79,669.50/x
  3. Step 3: Cross multiply
    36,717x = 79,669.50 × 79,669.50
  4. Step 4: Simplify right side
    36,717x = 6,347,229,230.25
  5. Step 5: Solve for x
    x = 6,347,229,230.25/36,717
  6. Step 6: Final answer
    x = 172,868.95

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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.