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Finding the Third Proportional to 13,914.28 and 30,015.56

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Solution

The third proportional to 13,914.28 and 30,015.56 is: 64,748.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914.28 : 30,015.56 = 30,015.56 : x
  2. Step 2: Convert to fraction form
    13,914.28/30,015.56 = 30,015.56/x
  3. Step 3: Cross multiply
    13,914.28x = 30,015.56 × 30,015.56
  4. Step 4: Simplify right side
    13,914.28x = 900,933,992.19
  5. Step 5: Solve for x
    x = 900,933,992.19/13,914.28
  6. Step 6: Final answer
    x = 64,748.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.