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Finding the Third Proportional to 14,094.25 and 30,314.75

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Solution

The third proportional to 14,094.25 and 30,314.75 is: 65,202.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,094.25 : 30,314.75 = 30,314.75 : x
  2. Step 2: Convert to fraction form
    14,094.25/30,314.75 = 30,314.75/x
  3. Step 3: Cross multiply
    14,094.25x = 30,314.75 × 30,314.75
  4. Step 4: Simplify right side
    14,094.25x = 918,984,067.56
  5. Step 5: Solve for x
    x = 918,984,067.56/14,094.25
  6. Step 6: Final answer
    x = 65,202.76

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.