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Finding the Third Proportional to 36,584 and 54,720

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Solution

The third proportional to 36,584 and 54,720 is: 81,846.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,584 : 54,720 = 54,720 : x
  2. Step 2: Convert to fraction form
    36,584/54,720 = 54,720/x
  3. Step 3: Cross multiply
    36,584x = 54,720 × 54,720
  4. Step 4: Simplify right side
    36,584x = 2,994,278,400
  5. Step 5: Solve for x
    x = 2,994,278,400/36,584
  6. Step 6: Final answer
    x = 81,846.67

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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.