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Finding the Third Proportional to 36,493 and 77,695

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Solution

The third proportional to 36,493 and 77,695 is: 165,415.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,493 : 77,695 = 77,695 : x
  2. Step 2: Convert to fraction form
    36,493/77,695 = 77,695/x
  3. Step 3: Cross multiply
    36,493x = 77,695 × 77,695
  4. Step 4: Simplify right side
    36,493x = 6,036,513,025
  5. Step 5: Solve for x
    x = 6,036,513,025/36,493
  6. Step 6: Final answer
    x = 165,415.64

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.