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Finding the Third Proportional to 14,046.75 and 30,685.50

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Solution

The third proportional to 14,046.75 and 30,685.50 is: 67,033.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046.75 : 30,685.50 = 30,685.50 : x
  2. Step 2: Convert to fraction form
    14,046.75/30,685.50 = 30,685.50/x
  3. Step 3: Cross multiply
    14,046.75x = 30,685.50 × 30,685.50
  4. Step 4: Simplify right side
    14,046.75x = 941,599,910.25
  5. Step 5: Solve for x
    x = 941,599,910.25/14,046.75
  6. Step 6: Final answer
    x = 67,033.29

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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.