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Finding the Third Proportional to 13,942.13 and 30,387.70

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Solution

The third proportional to 13,942.13 and 30,387.70 is: 66,231.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,942.13 : 30,387.70 = 30,387.70 : x
  2. Step 2: Convert to fraction form
    13,942.13/30,387.70 = 30,387.70/x
  3. Step 3: Cross multiply
    13,942.13x = 30,387.70 × 30,387.70
  4. Step 4: Simplify right side
    13,942.13x = 923,412,056.08
  5. Step 5: Solve for x
    x = 923,412,056.08/13,942.13
  6. Step 6: Final answer
    x = 66,231.80

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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.