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Finding the Third Proportional to 30,997 and 67,145

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Solution

The third proportional to 30,997 and 67,145 is: 145,447.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,997 : 67,145 = 67,145 : x
  2. Step 2: Convert to fraction form
    30,997/67,145 = 67,145/x
  3. Step 3: Cross multiply
    30,997x = 67,145 × 67,145
  4. Step 4: Simplify right side
    30,997x = 4,508,451,025
  5. Step 5: Solve for x
    x = 4,508,451,025/30,997
  6. Step 6: Final answer
    x = 145,447.98

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.