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Finding the Third Proportional to 30,956 and 67,825

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Solution

The third proportional to 30,956 and 67,825 is: 148,605.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,956 : 67,825 = 67,825 : x
  2. Step 2: Convert to fraction form
    30,956/67,825 = 67,825/x
  3. Step 3: Cross multiply
    30,956x = 67,825 × 67,825
  4. Step 4: Simplify right side
    30,956x = 4,600,230,625
  5. Step 5: Solve for x
    x = 4,600,230,625/30,956
  6. Step 6: Final answer
    x = 148,605.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.