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Finding the Third Proportional to 36,446 and 54,780

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Solution

The third proportional to 36,446 and 54,780 is: 82,336.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,446 : 54,780 = 54,780 : x
  2. Step 2: Convert to fraction form
    36,446/54,780 = 54,780/x
  3. Step 3: Cross multiply
    36,446x = 54,780 × 54,780
  4. Step 4: Simplify right side
    36,446x = 3,000,848,400
  5. Step 5: Solve for x
    x = 3,000,848,400/36,446
  6. Step 6: Final answer
    x = 82,336.84

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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.