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Finding the Third Proportional to 14,116.50 and 30,825

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Solution

The third proportional to 14,116.50 and 30,825 is: 67,309.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,116.50 : 30,825 = 30,825 : x
  2. Step 2: Convert to fraction form
    14,116.50/30,825 = 30,825/x
  3. Step 3: Cross multiply
    14,116.50x = 30,825 × 30,825
  4. Step 4: Simplify right side
    14,116.50x = 950,180,625
  5. Step 5: Solve for x
    x = 950,180,625/14,116.50
  6. Step 6: Final answer
    x = 67,309.93

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.