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Finding the Third Proportional to 13,930.73 and 30,321.84

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Solution

The third proportional to 13,930.73 and 30,321.84 is: 65,998.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930.73 : 30,321.84 = 30,321.84 : x
  2. Step 2: Convert to fraction form
    13,930.73/30,321.84 = 30,321.84/x
  3. Step 3: Cross multiply
    13,930.73x = 30,321.84 × 30,321.84
  4. Step 4: Simplify right side
    13,930.73x = 919,414,208.40
  5. Step 5: Solve for x
    x = 919,414,208.40/13,930.73
  6. Step 6: Final answer
    x = 65,998.98

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Why These Related Problems?

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