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Finding the Third Proportional to 36,012 and 54,516

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Solution

The third proportional to 36,012 and 54,516 is: 82,527.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,012 : 54,516 = 54,516 : x
  2. Step 2: Convert to fraction form
    36,012/54,516 = 54,516/x
  3. Step 3: Cross multiply
    36,012x = 54,516 × 54,516
  4. Step 4: Simplify right side
    36,012x = 2,971,994,256
  5. Step 5: Solve for x
    x = 2,971,994,256/36,012
  6. Step 6: Final answer
    x = 82,527.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.