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Finding the Third Proportional to 13,965.75 and 30,395.25

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Solution

The third proportional to 13,965.75 and 30,395.25 is: 66,152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,965.75 : 30,395.25 = 30,395.25 : x
  2. Step 2: Convert to fraction form
    13,965.75/30,395.25 = 30,395.25/x
  3. Step 3: Cross multiply
    13,965.75x = 30,395.25 × 30,395.25
  4. Step 4: Simplify right side
    13,965.75x = 923,871,222.56
  5. Step 5: Solve for x
    x = 923,871,222.56/13,965.75
  6. Step 6: Final answer
    x = 66,152.64

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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.