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Finding the Third Proportional to 36,962 and 58,755

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Solution

The third proportional to 36,962 and 58,755 is: 93,397.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,962 : 58,755 = 58,755 : x
  2. Step 2: Convert to fraction form
    36,962/58,755 = 58,755/x
  3. Step 3: Cross multiply
    36,962x = 58,755 × 58,755
  4. Step 4: Simplify right side
    36,962x = 3,452,150,025
  5. Step 5: Solve for x
    x = 3,452,150,025/36,962
  6. Step 6: Final answer
    x = 93,397.27

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.