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Finding the Third Proportional to 36,524 and 54,786

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Solution

The third proportional to 36,524 and 54,786 is: 82,179

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,524 : 54,786 = 54,786 : x
  2. Step 2: Convert to fraction form
    36,524/54,786 = 54,786/x
  3. Step 3: Cross multiply
    36,524x = 54,786 × 54,786
  4. Step 4: Simplify right side
    36,524x = 3,001,505,796
  5. Step 5: Solve for x
    x = 3,001,505,796/36,524
  6. Step 6: Final answer
    x = 82,179

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.