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Finding the Third Proportional to 36,744 and 80,524

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Solution

The third proportional to 36,744 and 80,524 is: 176,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,744 : 80,524 = 80,524 : x
  2. Step 2: Convert to fraction form
    36,744/80,524 = 80,524/x
  3. Step 3: Cross multiply
    36,744x = 80,524 × 80,524
  4. Step 4: Simplify right side
    36,744x = 6,484,114,576
  5. Step 5: Solve for x
    x = 6,484,114,576/36,744
  6. Step 6: Final answer
    x = 176,467.30

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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.