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Finding the Third Proportional to 14,659.50 and 34,571.25

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Solution

The third proportional to 14,659.50 and 34,571.25 is: 81,528.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,659.50 : 34,571.25 = 34,571.25 : x
  2. Step 2: Convert to fraction form
    14,659.50/34,571.25 = 34,571.25/x
  3. Step 3: Cross multiply
    14,659.50x = 34,571.25 × 34,571.25
  4. Step 4: Simplify right side
    14,659.50x = 1,195,171,326.56
  5. Step 5: Solve for x
    x = 1,195,171,326.56/14,659.50
  6. Step 6: Final answer
    x = 81,528.79

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.