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Finding the Third Proportional to 36,744.50 and 79,753

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Solution

The third proportional to 36,744.50 and 79,753 is: 173,101.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,744.50 : 79,753 = 79,753 : x
  2. Step 2: Convert to fraction form
    36,744.50/79,753 = 79,753/x
  3. Step 3: Cross multiply
    36,744.50x = 79,753 × 79,753
  4. Step 4: Simplify right side
    36,744.50x = 6,360,541,009
  5. Step 5: Solve for x
    x = 6,360,541,009/36,744.50
  6. Step 6: Final answer
    x = 173,101.85

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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.