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Finding the Third Proportional to 36,112 and 52,520

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Solution

The third proportional to 36,112 and 52,520 is: 76,383.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,112 : 52,520 = 52,520 : x
  2. Step 2: Convert to fraction form
    36,112/52,520 = 52,520/x
  3. Step 3: Cross multiply
    36,112x = 52,520 × 52,520
  4. Step 4: Simplify right side
    36,112x = 2,758,350,400
  5. Step 5: Solve for x
    x = 2,758,350,400/36,112
  6. Step 6: Final answer
    x = 76,383.21

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.