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Finding the Third Proportional to 13,965.75 and 30,393.56

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Solution

The third proportional to 13,965.75 and 30,393.56 is: 66,145.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,965.75 : 30,393.56 = 30,393.56 : x
  2. Step 2: Convert to fraction form
    13,965.75/30,393.56 = 30,393.56/x
  3. Step 3: Cross multiply
    13,965.75x = 30,393.56 × 30,393.56
  4. Step 4: Simplify right side
    13,965.75x = 923,768,641.44
  5. Step 5: Solve for x
    x = 923,768,641.44/13,965.75
  6. Step 6: Final answer
    x = 66,145.29

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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.